Weakly symmetric biserial algebras
Rafa{\l} Bocian, Andrzej Skowro\'nski
TL;DR
This paper introduces generalized biserial quiver algebras and proves they fully classify all weakly symmetric biserial algebras over algebraically closed fields.
Contribution
The paper provides a complete classification of weakly symmetric biserial algebras using generalized biserial quiver algebras.
Findings
Complete classification of weakly symmetric biserial algebras.
Introduction of generalized biserial quiver algebras.
Proof of classification over algebraically closed fields.
Abstract
We introduce the class of generalized biserial quiver algebras and prove that they provide a complete classification of all weakly symmetric biserial algebras over an algebraically closed field.
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