Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/32158
Title: Classification of symmetric special biserial algebras with at most one non-uniserial indecomposable projective
Authors: Snashall, Nicole
Taillefer, Rachel
First Published: 13-Feb-2015
Publisher: Cambridge University Press (CUP) for Edinburgh Mathematical Society
Citation: Proceedings of the Edinburgh Mathematical Society, 2015
Abstract: 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.
DOI Link: 10.1017/S0013091514000315
ISSN: 0013-0915
eISSN: 1464-3839
Links: http://hdl.handle.net/2381/32158
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9933159&fileId=S0013091514000315
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © Edinburgh Mathematical Society 2015. Archived with reference to SHERPA/RoMEO and publisher website.
Description: 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.
Appears in Collections:Published Articles, Dept. of Mathematics

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