Semilinear clannish algebras
Rings and Algebras
2022-09-08 v3
Abstract
We define a class of associative algebras generalizing 'clannish algebras', as introduced by the second author, but also incorporating semilinear structure, like a skew polynomial ring. Clannish algebras generalize the well known 'string algebras' introduced by Butler and Ringel. Our main result is the classification of finite-dimensional indecomposable modules for these new algebras.
Cite
@article{arxiv.2204.12138,
title = {Semilinear clannish algebras},
author = {Raphael Bennett-Tennenhaus and William Crawley-Boevey},
journal= {arXiv preprint arXiv:2204.12138},
year = {2022}
}
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