Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 461
Un cas particulier de la conjecture homologique sans boucle pour algèbres artiniennes de radical de Jacobson d'indice 3
Laaraj Mounir
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2384
April 15, 2384

Abstract: The strong no loop conjecture states that a simple module of finite projective dimension over an artin algebra has no non-zero self-extension. The main result of this work establishes this well known conjecture for finite dimensional algebras over an algebraically closed field.