Abstract
Let A be an artin algebra. An A-module M is semi-Gorenstein-projective provided that Exti(M,A) = 0 for all i ≥ 1. 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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Presented by: Michel Brion
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Ringel, C.M., Zhang, P. On Modules M such that both M and M∗ are Semi-Gorenstein-Projective. Algebr Represent Theor 24, 1125–1140 (2021). https://doi.org/10.1007/s10468-020-09982-w
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DOI: https://doi.org/10.1007/s10468-020-09982-w
Keywords
- Gorenstein-projective module
- Semi-Gorenstein-projective module
- Finitistic dimension conjecture
- Nunke condition