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arXiv · 2005.08779

On modules M such that M and M* are semi-Gorenstein-projective

Claus Michael Ringel·Pu Zhang
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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.

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Claus Michael Ringel, Pu Zhang. 2020-05-18. On modules M such that M and M* are semi-Gorenstein-projective. https://arxiv.org/abs/2005.08779

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