Singular equivalence of finite dimensional algebras with radical square zero
Rings and Algebras
2017-10-12 v2 Representation Theory
Abstract
We prove that the Crisp and Gow's quiver operation on a finite quiver Q produces a new quiver Q' with fewer vertices, such that the finite dimensional algebras kQ/J^2 and kQ'/J^2 are singularly equivalent. This operation is a general quiver operation which includes as specific examples some operations which arise naturally in symbolic dynamics (e.g., (elementary) strong shift equivalent, (in-out) splitting, source elimination, etc.).
Keywords
Cite
@article{arxiv.1603.04191,
title = {Singular equivalence of finite dimensional algebras with radical square zero},
author = {Alireza Nasr-Isfahani},
journal= {arXiv preprint arXiv:1603.04191},
year = {2017}
}
Comments
to appear in J. Pure Appl. Algebra