Claus Michael Ringel

List of publications (31.01.2013)

Annotated List of Publications since 2005

Some corrections     Additions

Manuscripts

Preprints

Accepted for publication

[182] Quiver Grassmannians for wild acyclic quivers (March 26, 2017, version July 10, 2017).
To appear in Proceddings Amer.Math.Soc.
[181] The eigenvector variety of a matrix pencil. (Feb 23, 2017, revised: April 30, 2017) arXiv:1703.04097 (in math.NA)
To appear in: Lin. Algebra and Appl.
DOI: https://doi.org/10.1016/j.laa.2017.05.004
[180] Kronecker modules generated by modules of length 2 (October 27, 2016, revised April 29, 2017).
to appear in: Reoresentations of Algebras. Amer.Math.Soc. Contemporary Mathematics. arXiv:1612.07679.
[178] Lattice structure of torsion classe for hereditary artin algebras (Feb 6, 2014, version of Aug 7, 2016)
to appear in: Nagoya J Math.
DOI: https://doi.org/10.1017/nmj.2017.12
[127] Chen-Ringel: Hereditary triangulated categories (June 27, 2016, final version: Feb 21, 2017)
To appear in: Journal of Noncommutative Geometry.
(This replaces the old paper: Hereditary triangulated categories. Compositio Mathematica, to appear. SFB-Preprint 98-107)

2016

[179] Ringel-Zhang: Representations of quivers over the algebra of dual numbers (7.12.2011, revised version Nov 2016)
J. Algebra (2016). DOI: 10.1016/j.jalgebra.2016.12.001
[177] The Catalan combinatorics of the hereditary artin algebras (Feb 23, 2015, 125 pages, revised August 24, 2015).
In: Recent Developments in Representation Theory, Contemp. Math., 673, Amer. Math. Soc., Providence, RI, 2016.
[176] The representation theory of Dynkin quivers. Three contributions. (version July 2016)
In; Frontiers of Mathematics in China 11(4), 765-814. DOI 10.1007/s11464-016-0548-5 www.springer.com
[175] Obaid, Nauman, Fakieh, Ringel:
The Ingalls-Thomas bijections IEJA (ms #2515), July 2016.
[174] Obaid, Nauman, Fakieh, Ringel:
Static subcategories of the module category of a finite-dimensional hereditary algebra. (19.7.2014, slightly revised April 9, 2015)
Comm. Algebra. Volume 44, Issue 6, 2016, pages 2531-2546. DOI: 10.1080/00927872.2015.1053902
Paper

2015

[173] Obaid, Nauman, Fakieh, Ringel: The numbers of support-tilting modules for Dynkin algebras. (24.3.2014, revised version Sept 18, 2015)
Journal of Integer Sequences, Vol. 18 (2015), Article 15.10.6
[172] Ringel-Zhang: Objective triangle functors
Sci China Math, 2015, 58: 221-232, doi: 10.1007/s11425-014-4954-4
SCM

2014

[171] Generic representations of wild quivers.
Int Math Res Notices (2014). doi: 10.1093/imrn/rnu224
[170] Ringel-Zhang: From submodule categories to preprojective algebras
Math Z. 278 (2014), 55-73. DOI: 10.1007/s00209-014-1305-7
[169] Quiver Grassmannians and Auslander varieties for wild algebras (17.05.2013, revised 20.05.2013)
J.Algebra 402 (2014), 351-357.
DOI: 10.1016/j.jalgebra.2013.12.021

2013

[168] Obaid, Nauman, Shammakh, Fakieh, Ringel: The number of complete exceptional sequences for a Dynkin algebra
(first version July 29, 2013, revised Nov 23, 2013)
Colloq. Math. 133 (2013), 197-210
[167] The Auslander bijections: How morphism are determined by modules
Bull. Math. Sci. 3 (2013), no. 3, 409.484.
[166] The Gorenstein projective modules for the Nakayama algebras. I.
Journal of Algebra (2013), pp. 241-261. DOI 10.1016/j.jalgebra.2013.03.014
[165] Indecomposable representations of the Kronecker quivers
Proc. Amer. Math. Soc. 141 (2013), no. 1, 115.121.
(MR2988715)
[164] Distinguished bases of exceptional modules
In "Algebras, quivers and representations". Proceedings of the Abel symposium 2011. Springer Series Abel Symposia Vol 8. (2013) 253-274.

2012

[163] Morphisms determined by objects: The case of modules over artin algebras (31.10.2011, final revision 14.01.2013)
Illinois Journal of Mathematics 56 (2012), 981-1000.
A correction
[162] Ringel-Xiong: On radical square zero rings.
Algebra and Discrete Mathematics. Volume 14 (2012), 297 - 306.
[161] Cluster-additive functions on stable translation quivers
J. Algebraic Combin. 36 (2012), no. 3, 475.500.
DOI 10.1007/s10801-012-0346-4. link
[160] Minimal infinite cogeneration-closed subcategories.
Bull. Sci. math. 136 (2012), pp 820-830. DOI: 10.1016/j.bulsci.2012.03.002
[159] Fahr-Ringel: The Fibonacci partition triangles.
Advances in Mathematics 230 (2012), pp. 2513-2535 DOI information: 10.1016/j.aim.2012.04.010
[158] On the representation dimension of artin algebras
Bulletin of the Institute of Mathematics, Academia Sinica, vol 7 (1) (2012), p.33-70.
In: Proceedings of the Taipei Conference on Representation Theory held in Taipei in 2010. Link
Bulletin of the Institute of Mathematics, Academia Sinica, volume 6 number 4 (2011), volume 7 number 1 (2012), volume 7 number 2 (2012).
[157] Fahr-Ringel: Categorification of the Fibonacci Numbers Using Representations of Quivers
Journal of Integer Sequences. Vol. 15 (2012), Article 12.2.1 Reprint

2011

[156] The minimal representation-infinite algebras which are special biserial
In: Representations of Algebras and Related Topics,
EMS Series of Congress Reports, European Math. Soc. Publ. House, Zürich, 2011
(Editors Andrzej Skowronski and Kunio Yamagata), p.501-560.
[155] Indecomposables live in all smaller lengths
Bull. London Math. Soc. (2011) 43(4): 655-660,   doi: 10.1112/blms/bdq128
Reprint
[154] The SL3-module T(43) for p=3
An appendix to the paper: Decomposition of tensor products of modular representations of SL_3 by Bowman, Doty, Martin.
International Electronic Journal of Algebra 9 (2011), 177-219
Final version
[153] Cluster-concealed algebras
Advances in Mathematics. 226, (2011), Pages 1513-1537

2010

[152] Gabriel-Roiter inclusions and Auslander-Reiten theory (Nov 1, 2009, slightly revised Aug 20, 2010).
Journal of Algebra 324 (2010) 3579-3590
[151] Iyama's finiteness theorem via strongly quasi-hereditary algebras (September 29, 2009)
Journal of Pure and Applied Algebra 214 (2010) 1687-1692. article
The published version contains a lot of misprints - due to incorrect conversion from TeX to LaTeX. Thus, use the preprint version!

Corrections

2009

[147] The relevance and the ubiquity of Prüfer modules.
Proceedings of the 4th International Conference on Representation Theory (edt: Zongzhu Lin, Jianpan Wang). Contemporary Mathematics. Amer. Math. Soc. 478 (2009), 163-176 ISBN-10: 0-8218-4555-1, ISBN-13: 978-0-8218-4555-4
pdf

2008

[150] The first Brauer-Thrall conjecture.
In: Models, Modules and Abelian Groups. In Memory of A. L. S. Corner. Walter de Gruyter, Berlin (edt: B. Goldsmith, R.Göbel) (2008), 369-374.
pdf
[149] (with V.Dlab): The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary artin algebra.
Mathematical Reports of the Academy of Science of the Royal Society of Canada. Vol 30 (2008), Nr.3, 89-96.
pdf, Published version: pdf
[148] The self-injective cluster tilted algebras.
Archiv der Mathematik. Band 91 (2008) Nr.3, 218-225.
pdf. (14.05.2008)
[146] (with M. Schmidmeier) Invariant subspaces of nilpotent operators. I.
Journal Reine Angew. Math. Band 2008, Nr. 614 (2008), 1--52.
Preprint or ArXiv math.RT/0608666
[145] (with M. Schmidmeier) The Auslander-Reiten Translation in Submodule Categories.
Trans. Amer. Math. Soc. 360 (2008), 691-716.
pdf-file.
[144] (with Ph. Fahr): A partition formula for Fibonacci numbers.
Journal of Integer Sequences, Vol. 11 (2008), Article 08.1.4.
pdf
Correction: Page 1, line -10: replace "the preprojective" by "preprojective" - one gets in this way only one τ-orbit of the preprojectives, not all!

2007

[143] The ladder construction of Prüfer modules.
Revista de la Union Matematica Argentina. (2007) Vol 48-2, p.47-65. volume 48
pdf
[142] Some remarks concerning tilting modules and tilted algebras.
Origin. Relevance. Future.
(An appendix to the Handbook of Tilting Theory.)
(ed Angeleri Hügel, Happel, Krause), London Math. Soc. Lecture Note Series vol 332. Cambridge University Press (2007). ISBN-13: 9780521680455, p.413-472.
pdf-file (Final version, May 2006)
Remark

2006

[141] The theorem of Bo Chen and Hall polynomials.
Nagoya Journal vol 183 (2006), 143-160.
pdf-file
[140] Algebras, Rings And Their Representations:
Proceedings Of The International Conference on Algebras, Modules and Rings, Lisbon, Portugal, 14-18 July 2003 (ed Facchini, Fuller, Ringel, Santa-Clara).
World Scientific Publishing Company (2006), 371 pages.
ISBN-10: 9812565981
[139] Foundation of the Representation Theory of Artin Algebras, Using the Gabriel-Roiter Measure.
In: Trends in Representation Theory of Algebras and Related Topics. (Workshop Queretaro, Mexico, 2004). Edited by de la Pena and Bautista. Contemporary Math. 406. Amer.Math.Soc. (2006), 105-135.
(Including a remark that one should be concerned about the military involvement of the publisher of the volume, the American Mathematical Society).
pdf-file. (22.04.2006)
(This version combines my Hirosaki-notes 2003, notes for the Hangzhou lectures 2005 and some additional considerations.)

[138] (with M. Schmidmeier) Submodule categories of wild representation type.
Journal for Pure and Applied Algebra 205, Issue 2, May 2006, Pages 412-422.
dvi-file, as ps-file, as pdf-file.
math.RT/0409417
[137] (with I. Reiten) Infinite dimensional representations of canonical algebras.
Canadian Journal of Mathematics 58 (2006), 180-224.
pdf-file with an Appendix: Cotorsion pairs: dvi-file, as ps-file, as pdf-file,

2005

[136] The Gabriel-Roiter measure.
Bull. Sci. math. 129 (2005), 726-748.
(Bei den Commentarii Math Helv eingereicht, aber nicht angenommen - weil es keine Originalarbeit sei). dvi-file, as ps-file. as pdf-file
[135] Bautista and the Development of the Representation Theory of Artin Algebras
Proceedings XV Latinamerican Colloquium of Algebra.
Contemporary Mathematics 376. Amer.Math.Soc.(2005), 89-103.
dvi-file, as pdf-file.

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Fakultät für Mathematik, Universität Bielefeld
Verantwortlich: C.M.Ringel
E-Mail: ringel@mathematik.uni-bielefeld.de
Aug 24, 2015