Tate Cohomology for Complexes with Finite Gorenstein AC-Injective Dimension
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DOI: 10.1007/s41980-018-0122-x
Abstract: In this paper, we introduce and study a notion of Gorenstein AC-injective dimension for complexes of left modules over associative rings. We show first that the class of complexes with finite Gorenstein AC-injective dimension is… read more here.
Keywords: finite gorenstein; injective dimension; tate; gorenstein injective ... See more keywords
Gorenstein coresolving categories
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DOI: 10.1080/00927872.2016.1270293
Abstract: ABSTRACT Let ???? be an abelian category. A subcategory ???? of ???? is called coresolving if ???? is closed under extensions and cokernels of monomorphisms and contains all injective objects of ????. In this paper,… read more here.
Keywords: category; injective modules; gorenstein injective; gorenstein coresolving ... See more keywords
Triangle equivalences involving Gorenstein FP-injective modules
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DOI: 10.1080/00927872.2018.1459639
Abstract: ABSTRACT Recently, Hu et al. [16] introduced the notion of Gorenstein FP-injective modules and investigated a notion of Gorenstein FP-injective dimension for complexes. Let R be a left coherent ring and Db(R-Mod) the bounded derived… read more here.
Keywords: involving gorenstein; category; injective modules; gorenstein ... See more keywords