Selfinjective algebras without short cycles of indecomposable modules

TL;DR

This paper characterizes the structure of finite dimensional selfinjective algebras over any field that lack short cycles among their indecomposable modules.

Contribution

It provides a detailed structural description of selfinjective algebras without short cycles, expanding understanding in algebra representation theory.

Findings

Characterization of selfinjective algebras without short cycles

Structural insights applicable over arbitrary fields

Advances in classification of algebra modules

Abstract

We describe the structure of finite dimensional selfinjective algebras over an arbitrary field without short cycles of indecomposable modules.