Gorenstein modules and Auslander categories
Dejun Wu, Yongduo Wang
TL;DR
This paper introduces new characterizations of Gorenstein modules over commutative noetherian local rings, enhancing understanding of their properties and relationships.
Contribution
It provides novel characterizations of Gorenstein projective, injective, and flat modules, advancing the theoretical framework in this area.
Findings
New characterizations of Gorenstein modules
Enhanced understanding of module properties
Theoretical advancements in Gorenstein homological algebra
Abstract
In this paper, some new characterizations on Gorenstein projective, injective and flat modules over commutative noetherian local ring are given.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons