Characterizing \tau-rigid-finite algebras with radical square zero
Takahide Adachi
TL;DR
This paper characterizes tau-rigid-finite algebras with radical square zero using separated quivers, extending known results about representation-finite algebras with similar properties.
Contribution
It provides a new characterization of tau-rigid-finite algebras with radical square zero via separated quivers, generalizing existing classifications.
Findings
Characterization of tau-rigid-finite algebras with radical square zero
Use of separated quivers for classification
Extension of known results on representation-finite algebras
Abstract
In this paper, we give a characterization of tau-rigid-finite algebras with radical square zero in terms of the separated quivers, which is an analog of a famous characterization of representation-finite algebras with radical square zero.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Logic