On the Self-injectivity and CM-free of an Artin Algebra with Radical Cubic Zero

Authors

  • Mounir Laaraj University Hassan II of Casablanca
  • Seddik Abdelalim

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5085

Keywords:

Artin representation

Abstract

In this paper, we succeed in proving that a connected Artin algebra whose Jacobson cubic radical is zero with each simple module and each Gorenstein projective module having the square radical of the cover projective of its first syzygy to be zero and verifying the coincidence covers, is either self-injective or CM-free.

Downloads

Published

2024-04-30

Issue

Section

Nonlinear Analysis

How to Cite

On the Self-injectivity and CM-free of an Artin Algebra with Radical Cubic Zero. (2024). European Journal of Pure and Applied Mathematics, 17(2), 1197-1205. https://doi.org/10.29020/nybg.ejpam.v17i2.5085