85 citations · 124 across the 19 of their papers we have counts for
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math.AC2017
Duality pairs and stable module categories
James Gillespie
Let be a commutative ring. We show that any complete duality pair gives rise to a theory of relative homological algebra, analogous to Gorenstein homological algebra. Indeed Go…
math.RA2017
AC-Gorenstein rings and their stable module categories
James Gillespie
We introduce what is meant by an AC-Gorenstein ring. It is a generalized notion of Gorenstein ring which is compatible with the Gorenstein AC-injective and Gorenstein AC-projective…
math.RA2017
Gorenstein AC-projective complexes
James Gillespie
Let be any ring with identity and Ch() the category of chain complexes of (left) -modules. We show that the Gorenstein AC-projective chain complexes are the cofibrant obj…