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
On certain homological finiteness conditions
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DOI: 10.1080/00927872.2016.1175462
Abstract: ABSTRACT In this paper, we show that the injective dimension of all projective modules over a countable ring is bounded by the self-injective dimension of the ring. We also examine the extent to which the… read more here.
Keywords: dimension; homological finiteness; certain homological; injective dimension ... See more keywords
A dichotomy for the injective dimension of F-finite F-modules and holonomic D-modules
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DOI: 10.1080/00927872.2018.1501574
Abstract: Abstract Let M be either a holonomic D-module over a formal power series ring with coefficients in a field of characteristic zero, or an F-finite F-module over a noetherian regular ring of characteristic p > 0. We… read more here.
Keywords: dimension finite; injective dimension; finite modules; modules holonomic ... See more keywords