On modules M such that M and M* are semi-Gorenstein-projective
Representation Theory
2020-05-19 v1 Commutative Algebra
Rings and Algebras
Abstract
Let A be an artin algebra. An A-module M is semi-Gorenstein-projective provided that Ext^i(M,A) = 0 for all i > 0. If M is Gorenstein-projective, then both M and its A-dual M* are semi-Gorenstein projective. As we have shown recently, the converse is not true, thus answering a question raised by Avramov and Martsinkovsky. The aim of the present note is to analyse in detail the modules M such that both M and M* are semi-Gorenstein-projective.
Keywords
Cite
@article{arxiv.2005.08779,
title = {On modules M such that M and M* are semi-Gorenstein-projective},
author = {Claus Michael Ringel and Pu Zhang},
journal= {arXiv preprint arXiv:2005.08779},
year = {2020}
}