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Gorenstein global dimensions relative to balanced pairs
2020
Electronic Research Archive
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Let G(X ) and G(Y) be Gorenstein subcategories induced by an admissible balanced pair (X , Y) in an abelian category A. In this paper, we establish Gorenstein homological dimensions in terms of these two subcategories and investigate the Gorenstein global dimensions of A induced by the balanced pair (X , Y). As a consequence, we give some new characterizations of pure global dimensions and Gorenstein global dimensions of a ring R.
doi:10.3934/era.2020082
fatcat:xjbj3lu3aza3joznowolsunkbe