Article contents
Classification of Symmetric Special Biserial Algebras With At Most One Non-Uniserial Indecomposable Projective
Published online by Cambridge University Press: 13 February 2015
Abstract
We consider a natural generalization 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 weakly symmetric algebras of Euclidean type n, as studied by Bocian et al., as well as some algebras of dihedral type.
Keywords
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 3 , October 2015 , pp. 739 - 767
- Copyright
- Copyright © Edinburgh Mathematical Society 2015
References
- 1
- Cited by