Semilinear clannish algebras

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....

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Bibliographic Details
Published in:arXiv.org 2022-09
Main Authors: Bennett-Tennenhaus, Raphael, Crawley-Boevey, William
Format: Article
Language:English
Subjects:
Algebra
Polynomials
Rings (mathematics)
Online Access:Get full text
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Summary: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.
ISSN:2331-8422