Diana White

Stability of Gorenstein Categories

We show that an iteration of the procedure used to define the Gorenstein projective modules over a commutative ring R yields exactly the Gorenstein projective modules. Specifically, given an exact sequence of Gorenstein projective R-modules such that the complexes HomR(G, H) and HomR(H, G) are exact for each Gorenstein projective R-module H, the module Coker() is Gorenstein projective. The proof of this result hinges upon our analysis of Gorenstein subcategories of abelian categories.

Gorenstein projective dimension with respect to a semidualizing module

We introduce and investigate the notion of

The establishment and growth of Math Circles in America

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Foxby equivalence over associative rings

-projective modules over (possibly non-noetherian) commutative rings, where

Homological aspects of semidualizing modules

C

AB-Contexts and Stability for Gorenstein Flat Modules with Respect to Semidualizing Modules

is a semidualizing module. This extends Holm and J{\o}rgensens notion of

Comparison of relative cohomology theories with respect to semidualizing modules

C

Tate cohomology with respect to semidualizing modules

-Gorenstein projective modules to the non-noetherian setting and generalizes projective and Gorenstein projective modules within this setting. We then study the resulting modules of finite

Gorenstein cohomology in abelian categories

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Decomposition Numbers of Sp 4(2 a ) in Odd Characteristics

-projective dimension, showing in particular that they admit