BIREP – Representations of finite dimensional algebras at Bielefeld

• BIREP
• Faculty of Mathematics
• Bielefeld University

 

Publications by the BIREP group since 2010

• C. M. Ringel, Iyama's finiteness theorem via strongly quasi-hereditary algebras, Journal of Pure and Applied Algebra 214 (2010), 1687–1692, doi:10.1016/j.jpaa.2009.12.012.
• H. Krause and J. Stovicek, The telescope conjecture for hereditary rings via Ext-orthogonal pairs, Adv. Math. 225 (2010), 2341–2364, doi:10.1016/j.aim.2010.04.027.
• H. Krause, Localization theory for triangulated categories, in: T. Holm, P. Jørgensen and R. Rouquier (eds.), Triangulated categories, London Math. Soc. Lecture Note Ser. 375, Cambridge Univ. Press, Cambridge 2010, 161–235.
• C. M. Ringel, Cluster-concealed algebras, Advances in Mathematics 226 (2011), 1513–1537, doi:10.1016/j.aim.2010.08.014.
• C. M. Ringel, Gabriel–Roiter inclusions and Auslander–Reiten theory, Journal of Algebra 324 (2010), 3579–3590, doi:10.1016/j.jalgebra.2010.09.003.
• X.-W. Chen, Homotopy equivalences induced by balanced pairs, J. Algebra 324 (2010), 2718–2731, doi:10.1016/j.jalgebra.2010.09.002.
• C. Bowman, S. R. Doty and S. Martin, Decomposition of Tensor Products of Modular Irreducible Representations for SL_3 (with an appendix by C. M. Ringel), International Electronic Journal of Algebra 9 (2011), 177–219.
• X.-W. Chen, The stable monomorphism category of a Frobenius category, Math. Res. Lett. 18 (2011), no. 1, 125–137.
• C. M. Ringel, Indecomposables live in all smaller lengths, Bulletin of the London Mathematical Society 43 (2011), 655–660, doi:10.1112/blms/bdq128.
• H. Krause and Y. Ye, On the centre of a triangulated category, Proc. Edinburgh Math. Soc. 54 (2011), 443–466, doi:10.1017/S0013091509001199.
• X.-W. Chen and H. Krause, Expansions of abelian categories, J. Pure Appl. Algebra 215 (2011), 2873–2883, doi:10.1016/j.jpaa.2011.04.008.
• A.-C. van Roosmalen, Abelian Hereditary Fractionally Calabi–Yau Categories, Int. Math. Res. Not. 2012(12) (2012), 2708–2750, doi:10.1093/imrn/rnr118.
• H. Krause, Approximations and adjoints in homotopy categories, Math. Annalen 353 (2012), 765–781, doi:10.1007/s00208-011-0703-y.
• D. J. Benson, S. B. Iyengar and H. Krause, Stratifying triangulated categories, J. Topology 4 (2011), 641–666, doi:10.1112/jtopol/jtr017.
• D. J. Benson, S. B. Iyengar and H. Krause, Localising subcategories for cochains on the classifying space of a finite group, C. R. Math. Acad. Sci. Paris 349 (2011), 953–956, doi:10.1016/j.crma.2011.08.019.
• D. J. Benson, S. B. Iyengar and H. Krause, Module categories for finite group algebras, in: A. Skowroński and K. Yamagata (eds.), Representations of Algebras and Related Topics, EMS Series of Congress Reports, EMS Publ. House, Zürich 2011, 55–83, doi:10.4171/101.
• C. M. Ringel, The minimal representation-infinite algebras which are special biserial, in: A. Skowroński and K. Yamagata (eds.), Representations of Algebras and Related Topics, EMS Series of Congress Reports, EMS Publ. House, Zürich 2011, 501–560, doi:10.4171/101.
• H. Krause, Report on locally finite triangulated categories, J. K-Theory 9 (2012), 421–458, doi:10.1017/is011011001jkt171.
• D. Guez and G. Stevenson, Is reasoning in rats really unreasonable? Revisiting recent associative accounts, Frontiers in Psychology 2 (2011), doi:10.3389/fpsyg.2011.00277.
• D. J. Benson, S. B. Iyengar and H. Krause, Stratifying modular representations of finite groups, Ann. of Math. 174 (2012), 1643–1684, doi:10.4007/annals.2011.174.3.6.
• D. J. Benson, S. B. Iyengar and H. Krause, Representations of finite groups: Local cohomology and support, Oberwolfach Seminars 43, Birkhäuser Verlag 2012, 111pp, doi:10.1007/978-3-0348-0260-4.
• C. M. Ringel, On the representation dimension of artin algebras, Bull. Inst. Math. Acad. Sinica 7 (2012), Link.
• Ph. Fahr and C. M. Ringel, Categorification of the Fibonacci Numbers Using Representations of Quivers, Journal of Integer Sequences 15 (2011), article 12.2.1, Reprint.
• D. J. Benson, S. B. Iyengar and H. Krause, Colocalizing subcategories and cosupport, J. Reine Angew. Math. 673 (2012), 161–207, doi:10.1515/CRELLE.2011.180.
• I. Dell'Ambrogio and G. Tabuada, Tensor triangular geometry of non-commutative motives, Adv. Math. 229 (2012), 1329–1357, doi:10.1016/j.aim.2011.11.005.
• G. Bobinski and A. B. Buan, The algebras derived equivalent to gentle cluster tilted algebras, J. Algebra Appl. 11 (2012), 1250012, doi:10.1142/S021949881100535X.
• G. Ciprian and J. Stovicek, Brown representability often fails for homotopy categories of complexes, J. K-Theory 9 (2012), 151–160, doi:10.1017/is011010026jkt167.
• C. M. Ringel, Cluster-additive functions on stable translation quivers, J. Algebr. Comb. 36 (2012), 475–500, doi:10.1007/s10801-012-0346-4.
• C. M. Ringel, Minimal infinite cogeneration-closed subcategories, Bull. Sci. Math. 136 (2012), 820–830, doi:10.1016/j.bulsci.2012.03.002.
• C. M. Ringel, Indecomposable representations of the Kronecker quivers, Proc. AMS 141 (2013), 115–121, doi:10.1090/S0002-9939-2012-11296-1.
• Ph. Fahr and C. M. Ringel, The Fibonacci partition triangles, Adv. Math. 230 (2012), 2513–2535, doi:10.1016/j.aim.2012.04.010.
• E. Herscovich, The Dixmier map for nilpotent super Lie algebras, Commun. Math. Phys. 313 (2012), 295–328, doi:10.1007/s00220-012-1505-0.
• J. Burke, Finite injective dimension over rings with Noetherian cohomology, Math. Res. Lett. 19 (2012), 741–752, doi:10.4310/MRL.2012.v19.n4.a1.
• C. Berkesch, J. Burke, D. Erman and C. Gibbons, The cone of Betti diagrams over a hypersurface ring of low embedding dimension, J. Pure Appl. Algebra 216 (2012), 2256–2268, doi:doi:10.1016/j.jpaa.2012.03.007.
• I. Dell'Ambrogio, The unitary symmetric monoidal model category of small C*-categories, Homology Homotopy Appl. 14(2) (2012), 101–127, Link.
• J. Burke and M. E. Walker, Matrix factorizations over projective schemes, Homology Homotopy Appl. 14(2) (2012), 37–61, Link.
• I. Dell'Ambrogio and G. Stevenson, On the derived category of a graded commutative noetherian ring, J. Algebra 373 (2013), 356–376, doi:10.1016/j.jalgebra.2012.09.038.
• S. Bazzoni and J. Stovicek, On the abelianization of derived categories and a negative solution to Rosicky's problem, Compos. Math. 149 (2013), 125–147, doi:10.1112/S0010437X12000413.
• C. M. Ringel and Bao-Lin Xiong, On radical square zero rings, Algebra and Discrete Mathematics 14 (2012), Link.
• S. B. Iyengar and H. Krause, The Bousfield lattice of a triangulated category and stratification, Math. Z. 273 (2013), 1215–1241, doi:10.1007/s00209-012-1051-7.
• D. Benson, S. Iyengar and H. Krause, Module categories for group algebras over commutative rings (with an appendix by G. Stevenson), J. K-Theory 11 (2013), 297–329, doi:10.1017/is013001031jkt214.
• H. Krause, Koszul, Ringel, and Serre duality for strict polynomial functors, Compos. Math. 149 (2013), 996–1018, doi:10.1112/S0010437X12000814.
• C. M. Ringel, The Gorenstein projective modules for the Nakayama algebras, J. Algebra 385 (2013), 241–261, doi:10.1016/j.jalgebra.2013.03.014 .
• G. Stevenson, Support theory via actions of tensor triangulated categories, J. reine angew. Math. 681 (2013), 219–254, doi:10.1515/crelle-2012-0025.
• H. Krause and M. Prest, The Gabriel-Roiter filtration of the Ziegler spectrum, Quart. J. Math. 64 (2013), 891–901, doi:10.1093/qmath/has020.
• H. Krause and G. Stevenson, A note on thick subcategories of stable derived categories, Nagoya Math. J. 212 (2013), 87–96, doi:10.1215/00277630-2351125.
• H. Krause, Morphisms determined by objects in triangulated categories, in: Algebras, quivers and representations, Proceedings of the Abel Symposium 2011, Springer Series Abel Symposia 8, 195–207, doi:10.1007/978-3-642-39485-0_9.
• C. M. Ringel, Distinguished bases of exceptional modules, in: Algebras, quivers and representations, Proceedings of the Abel Symposium 2011, Springer Series Abel Symposia 8, 253–274, doi:10.1007/978-3-642-39485-0_11.
• C. M. Ringel, The Auslander bijections: How morphisms are determined by modules, Bull. Math. Sci. 3 (2013), 409–484, doi:10.1007/s13373-013-0042-2.
• M. Obaid, K. Nauman, W. S. M. Al-Shammakh, W. Fakieh and C. M. Ringel, The number of complete exceptional sequences for a Dynkin algebra, Colloq. Math. 133 (2013), 197–210, doi:10.4064/cm133-2-6.
• Y. Jiang, Parametrizations of canonical bases and irreducible components of nilpotent varieties, Int. Math. Res. Not. 12 (2014), 3263–3278, doi:10.1093/imrn/rnt032.
• Ph. Lampe, Quantum cluster algebras of type A and the dual canonical basis, Proc. Lond. Math. Soc. 108 (2014), 1–43, doi:10.1112/plms/pds098.
• D. Benson, H. Krause and A. Skowroński (eds.), Advances in Representation Theory of Algebras, EMS Series of Congress Reports, EMS Publishing House 2014, 378pp, doi:10.4171/125.
• I. Dell'Ambrogio and G. Tabuada, Morita homotopy theory of C*-categories, J. Algebra 398 (2014), 162–199, doi:10.1016/j.jalgebra.2013.09.022.
• C. M. Ringel, Morphisms determined by objects: The case of modules over artin algebras, Illinois J. Math 56 (2012), 981–1000.
• I. Dell'Ambrogio and G. Stevenson, Even more spectra: tensor triangular comparison maps via graded commutative 2-rings, Appl. Categ. Struct. 22 (2014), 169–210, doi:10.1007/s10485-012-9296-1.
• G. Stevenson, Subcategories of singularity categories via tensor actions, Compos. Math. 150 (2014), 229–272, doi:10.1112/S0010437X1300746X.
• C. M. Ringel, Quiver Grassmannians and Auslander varieties for wild algebras, J. Algebra 402 (2014), 351–357, doi:10.1016/j.jalgebra.2013.12.021 .
• G. Stevenson, Duality for bounded derived categories of complete intersections, Bull. London Math. Soc. 46 (2014), 245–257, doi:10.1112/blms/bdt089.
• C. Psaroudakis and J. Vitória, Recollements of Module Categories, Appl. Categ. Struct. 22 (2014), 579–593, doi:10.1007/s10485-013-9323-x.
• G. Stevenson, Derived categories of absolutely flat rings, Homology Homotopy Appl. 16 (2014), 45–64, Link.
• I. Dell'Ambrogio, Equivariant Kasparov theory of finite groups via Mackey functors, J. Noncommut. Geom. 8 (2014), 837–871, doi:10.4171/JNCG/172.
• C. M. Ringel and P. Zhang, From submodule categories to preprojective algebras, Math Z. 278 (2014), 55–73, doi:10.1007/s00209-014-1305-7.
• H. Krause, Abelian length categories of strongly unbounded type, Int. Math. Res. Not. 2014(24) (2014), 6684–6697, doi:10.1093/imrn/rnt184.
• H. Krause, The artinian conjecture (following Djament, Putman, Sam, and Snowden), in: Proceedings of the 47th symposium on ring theory and representation theory (Osaka, 2014), Saitama University 2015, 104–111.
• C. M. Ringel and P. Zhang, Objective triangle functors, Sci. China, Math. 58 (2015), 221–232, doi:10.1007/s11425-014-4954-4.
• D. J. Benson, S. Iyengar and H. Krause, A local-global principle for small triangulated categories, Math. Proc. Camb. Philos. Soc. 158 (2015), 451–476, doi:10.1017/S0305004115000067.
• G. Bobiński and H. Krause, The Krull-Gabriel dimension of discrete derived categories, Bull. Sci. Math. 139 (2015), 269–282, doi:10.1016/j.bulsci.2014.09.001.
• J. Steen and G. Stevenson, Strong generators in tensor triangulated categories, Bull. London Math. Soc. 47 (2015), 607–616, doi:10.1112/blms/bdv037.
• M. Obaid, K. Nauman, W. Fakieh and C. M. Ringel, The numbers of support-tilting modules for Dynkin algebras, Journal of Integer Sequences 18 (2015), article 15.10.6, Reprint.
• H. Krause, Deriving Auslander's formula, Doc. Math. 20 (2015), 669–688, Link.
• C. M. Ringel, Generic representations of wild quivers, Int. Math. Res. Not. 2015(19) (2015), 9727–9735, doi:10.1093/imrn/rnu224.
• H. Krause, Polynomial representations of GL(n) and Schur-Weyl duality, Beitr. Algebra Geom. 56 (2015), 769–773, doi:10.1007/s13366-015-0237-7.
• J. Burke and G. Stevenson, The derived category of a graded Gorenstein ring, in: Commutative Algebra and Noncommutative Algebraic Geometry: Volume II: Research Articles, MSRI Publications 68, Cambridge University Press 2015, 93–123.
• H. Krause, Krull–Schmidt categories and projective covers, Expo. Math. 33 (2015), 535–549, doi:doi:10.1016/j.exmath.2015.10.001.
• H. Krause, Morphisms determined by objects and flat covers, Forum Math. 28 (2016), 425–435, doi:10.1515/forum-2014-0115.
• A. Hubery, Irreducible components of quiver Grassmannians, Trans. Amer. Math. Soc. 369 (2017), 1395–1458, doi:10.1090/tran/6693.
• M. Obaid, K. Nauman, W. Fakieh and C. M. Ringel, Static subcategories of the module category of a finite-dimensional hereditary algebra, Commun. Algebra 44 (2016), 2531–2546, doi:10.1080/00927872.2015.1053902.
• S. Baland, A. Chirvasitu and G. Stevenson, The prime spectra of relative stable module categories, Trans. Amer. Math. Soc., doi:10.1090/tran/7297.
• P. Lampe, Diophantine equations via cluster transformations, J. Algebra 462 (2016), 320–337, doi:10.1016/j.jalgebra.2016.04.033.
• B. Antieau and G. Stevenson, Derived categories of representations of small categories over commutative noetherian rings, Pac. J. Math. 283 (216), 21–42, doi:10.2140/pjm.2016.283.21.
• M. Obaid, K. Nauman, W. Fakieh and C. M. Ringel, The Ingalls-Thomas Bijections, Int. Electron. J. Algebra 20 (2016), 28–44, Link.
• C. M. Ringel, The representation theory of Dynkin quivers. Three contributions., Front. Math. China 11 (2016), 765–814, doi:10.1007/s11464-016-0548-5.
• H. Krause, Cohomological length functions, Nagoya Math. J. 223 (2016), 136–161, doi:10.1017/nmj.2016.28.
• C. M. Ringel, The Catalan combinatorics of the hereditary artin algebras, in: Recent Developments in Representation Theory, Contemp. Math. 673, Amer. Math. Soc., Providence, RI 2016, 51–178.
• A. Hubery and H. Krause, A categorification of non-crossing partitions, J. Eur. Math. Soc. 18 (2016), 2273–2313, doi:10.4171/JEMS/641.
• M. Perling and S. Schröer, Vector bundles on proper toric 3-folds and certain other schemes, Trans. Amer. Math. Soc. 369 (2017), 4787–4815, doi:10.1090/tran/6813.
• H. Krause, P. Littelmann, G. Malle, K.-H. Neeb and C. Schweigert (eds.), Representation Theory – Current Trends and Perspectives, EMS Series of Congress Reports, EMS Publishing House 2017, 773pp, doi:10.4171/171.
• H. Krause, Highest weight categories and strict polynomial functors (with an appendix by C. Aquilino), in: Representation Theory – Current Trends and Perspectives, EMS Series of Congress Reports, EMS Publishing House 2017, 331–373, doi:10.4171/171-1/13.
• G. Stevenson, Filtrations via Tensor Actions, Int. Math. Res. Not., doi:10.1093/imrn/rnw325.
• W. Crawley-Boevey and J. Sauter, On quiver Grassmannians and orbit closures for representation-finite algebras, Math. Z. 285 (2017), 367–395, doi:10.1007/s00209-016-1712-z.
• D. Benson, S. Iyengar, H. Krause and J. Pevtsova, Stratification and π-cosupport: Finite groups, Math. Z. (2017), doi:10.1007/s00209-017-1853-8.
• I. Dell'Ambrogio, G. Stevenson and J. Stovicek, Gorenstein homological algebra and universal coefficient theorems, Math. Z., doi:10.1007/s00209-017-1862-7.
• G. Stevenson, The local-to-global principle for triangulated categories via dimension functions, J. Algebra 473 (2017), 406–429, doi:10.1016/j.jalgebra.2016.12.002.
• C. M. Ringel and P. Zhang, Representations of quivers over the algebra of dual numbers, J. Algebra 475 (2017), 327–360, doi:10.1016/j.jalgebra.2016.12.001.
• M. Perling, Combinatorial aspects of exceptional sequences on (rational) surfaces, Math. Z., doi:10.1007/s00209-017-1887-y.
• D. Benson and H. Krause, The variety of subadditive functions for finite group schemes, Fund. Math. 239 (2017), 289–296, doi:10.4064/fm262-1-2017.
• D. Benson, S. Iyengar, H. Krause and J. Pevtsova, Colocalising subcategories of modules over finite group schemes, Ann. K-Theory 2 (2017), 387–408, doi:10.2140/akt.2017.2.387.
• C. M. Ringel, Lattice structure of torsion classes for hereditary artin algebras, Nagoya Math. J., doi:10.1017/nmj.2017.12.
• J. Steen and G. Stevenson, Enrichment and Representability for Triangulated Categories, Doc. Math. 22 (2017), 1031–1062, Link.
• K. Großblotekamp and H. Krause, Linear versus set valued Kronecker representations, Comm. Algebra 45 (2017), 5103–5110, doi:10.1080/00927872.2017.1293072.
• C. Aquilino and R. Reischuk, The monoidal structure on strict polynomial functors, J. of Algebra 485 (2017), 213–229, doi:10.1016/j.jalgebra.2017.05.009.
• F. Gellert and Ph. Lampe, Quantisation Spaces of Cluster Algebras, Glasg. Math. J., doi:10.1017/S0017089517000076.
• Ö. Eiriksson, From Submodule Categories to the Stable Auslander Algebra, J. Algebra 486 (2017), 98–118, doi:10.1016/j.jalgebra.2017.05.012.
• C. M. Ringel, The eigenvector variety of a matrix pencil, Linear Algebra Appl. 531 (2017), 447–458, doi:10.1016/j.laa.2017.05.004.
• L. Shaul, Homological dimensions of local (co)homology over commutative DG-rings, Canad. Math. Bull., doi:10.4153/CMB-2017-054-1.
• N. Broomhead, D. Pauksztello and D. Ploog, Discrete triangulated categories, Bull. London Math. Soc., doi:10.1112/blms.12125.
• H. Krause, Highest weight categories and recollements, Ann. Inst. Fourier 67 (2017), 2679–2701, doi:10.5802/aif.3147.
• D. Benson, S. Iyengar, H. Krause and J. Pevtsova, Stratification for module categories of finite group schemes, J. Amer. Math. Soc. 31 (2018), 265–302, doi:10.1090/jams/887.
• C. M. Ringel, Quiver Grassmannians for Wild Acyclic Quivers, Proc. Am. Math. Soc. 146 (2018), 1873–1877, doi:10.1090/proc/13882.
• W. Crawley-Boevey, Representations of equipped graphs: Auslander-Reiten theory, in: K. Sanada (ed.), Proceedings of the 50th Symposium on Ring Theory and Representation Theory, Symposium on Ring Theory and Representation Theory Organizing Committee, Yamanashi 2018.
• F. Gellert and P. Lampe, Maximum antichains in posets of quiver representations, Beitr. Algebra Geom. 59 (2018), 1–20, doi:10.1007/s13366-017-0359-1.
• H. Krause and D. Vossieck, Length categories of infinite height, in: J. F. Carlson, S. B. Iyengar and J. Pevtsova (eds.), Geometric and topological aspects of group representations, Springer Proc. Math. Stat. 242, Springer, Cham 2018, 213–234, doi:10.1007/978-3-319-94033-5_8.
• P. Balmer, H. Krause and G. Stevenson, The frame of smashing tensor-ideals, Math. Proc. Camb. Phil. Soc. (2018), doi:10.1017/S0305004118000725.
• R. Bennett-Tennenhaus and W. Crawley-Boevey, Σ-pure-injective modules for string algebras and linear relations, J. Algebra 513 (2018), 177–189, doi:10.1016/j.jalgebra.2018.07.032.
• P. Balmer, H. Krause and G. Stevenson, Tensor-triangular fields: ruminations, Selecta Math. (N.S.) 25 (2019), art. 13, doi:10.1007/s00029-019-0454-2.
• H. Krause, Auslander-Reiten duality for Grothendieck abelian categories, Trans. Amer. Math. Soc. 371 (2019), 2455–2472, doi:10.1090/tran/7379.
• D. Benson, S. Iyengar, H. Krause and J. Pevtsova, Local duality for representations of finite group schemes, Compos. Math. 155 (2019), 424–453, doi:10.1112/S0010437X19007061.
• B. Baumeister, K.-U. Bux, F. Götze, D. Kielak and H. Krause, Non-crossing partitions, in: M. Baake, F. Götze and W. Hoffmann (eds.), Spectral Structures and Topological Methods in Mathematics, EMS Publishing House 2019, 235–274, doi:10.4171/197-1/11.
• H. Krause and G. Stevenson, The derived category of the projective line, in: M. Baake, F. Götze and W. Hoffmann (eds.), Spectral Structures and Topological Methods in Mathematics, EMS Publishing House 2019, 275–297, doi:10.4171/197-1/12.
• A. B. Buan, H. Krause, N. Snashall and Ø. Solberg, Support varieties – an axiomatic approach, Math. Z. (2019), doi:10.1007/s00209-019-02343-4.
• W. Crawley-Boevey and A. Hubery, A new approach to simple modules for preprojective algebras, Algebr. Represent. Theory (2019), doi:10.1007/s10468-019-09916-1.

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Preprints

• C. Köhler, Thick subcategories of finite algebraic triangulated categories, arXiv:1010.0146.
• I. Dell'Ambrogio, H. Emerson, T. Kandelaki and R. Meyer, A functorial equivariant K-theory spectrum and an equivariant Lefschetz formula, arXiv:1104.3441.
• Ph. Lampe, Acyclic cluster algebras from a ring theoretic point of view, arXiv:1210.1502.
• C. M. Ringel, The (n-1)-antichains in a root poset of width n, arXiv:1306.1593.
• C. M. Ringel, Wild Algebras: Two Examples, arXiv:1307.6509.
• J. Sauter, Cell decompositions of quiver flag varieties for nilpotent representations of the oriented cycle, arXiv:1509.08026.
• G. Stevenson, A tour of support theory for triangulated categories through tensor triangular geometry, arXiv:1601.03595.
• S. Baland and G. Stevenson, Comparisons between singularity categories and relative stable categories of finite groups, arXiv:1601.07727.
• C. M. Ringel and X.-W. Chen, Hereditary triangulated categories, to appear in: J. Noncommut. Geom., arXiv:1606.08279.
• P. Lampe, On the approximate periodicity of sequences attached to noncrystallographic root systems, to appear in: Exper. Math., arXiv:1607.04223.
• S. Gratz and G. Stevenson, On the graded dual numbers, arcs, and non-crossing partitions of the integers, arXiv:1611.02070.
• A. Hubery, Characterising the bounded derived category of an hereditary abelian category, arXiv:1612.06674.
• C. M. Ringel, Kronecker modules generated by modules of length 2, to appear in: Representations of Algebras, Contemp. Math. 705, Amer. Math. Soc., arXiv:1612.07679.
• C. M. Ringel, The elementary 3-Kronecker modules, arXiv:1612.09141.
• J.P.C. Greenlees and G. Stevenson, Morita theory and singularity categories, arXiv:1702.07957.
• M. Pressland and J. Sauter, Special tilting modules for algebras with positive dominant dimension, arXiv:1705.03367.
• Ö. Eiriksson and J. Sauter, Quiver-graded Richardson Orbits, arXiv:1707.03244.
• L. Shaul, Injective DG-modules over non-positive DG-rings, arXiv:1709.01479.
• C. M. Ringel, The shift orbits of the graded Kronecker modules, to appear in: Math. Z., arXiv:1709.02552.
• C. M. Ringel, The root posets and their rich antichains.
• M. Pressland and J. Sauter, On quiver Grassmannians and orbit closures for gen-finite modules, arXiv:1802.01848.
• T. Barthel, B. Keller and H. Krause, Completing perfect complexes, arXiv:1805.10751.
• M. B. Botnan and W. Crawley-Boevey, Decomposition of persistence modules, arXiv:1811.08946.
• D. Benson, S. Iyengar, H. Krause and J. Pevtsova, Detecting nilpotence and projectivity over finite unipotent supergroup schemes, arXiv:1901.08273.
• W. Crawley-Boevey, B. Ma, B. Rognerud and J. Sauter, Combinatorics of faithfully balanced modules, arXiv:1905.00613.
• D. Benson, S. Iyengar, H. Krause and J. Pevtsova, Local duality for the singularity category of a finite dimensional Gorenstein algebra, arXiv:1905.01506.
• B. Keller and H. Krause, Tilting preserves finite global dimension, arXiv:1911.11749.

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