Snashall_Taillefer_Sep2013_final_ProcEMS.pdf (288.03 kB)
Download file

Classification of symmetric special biserial algebras with at most one non-uniserial indecomposable projective

Download (288.03 kB)
journal contribution
posted on 07.05.2015, 10:12 by Nicole Snashall, Rachel Taillefer
We consider a natural generalisation of symmetric Nakayama algebras, namely, symmetric special biserial algebras with at most one non-uniserial indecomposable projective module. We describe the basic algebras explicitly by quiver and relations, then classify them up to derived equivalence and up to stable equivalence of Morita type. This includes the algebras of [Bocian-Holm-Skowro\'nski, J. Pure Appl. Algebra 2004], where they study the weakly symmetric algebras of Euclidean type, as well as some algebras of dihedral type.

History

Citation

Proceedings of the Edinburgh Mathematical Society, 2015

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Proceedings of the Edinburgh Mathematical Society

Publisher

Cambridge University Press (CUP) for Edinburgh Mathematical Society

issn

0013-0915

eissn

1464-3839

Copyright date

2015

Available date

19/08/2015

Publisher version

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9933159&fileId=S0013091514000315

Notes

To appear in the Proceedings of the Edinburgh Mathematical Society. Will appear in 2015 - page proofs have been returned to journal. No date/volume/pages are available yet.

Language

en

Usage metrics

Categories

Keywords

Exports