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- W4328003374 abstract "For a local commutative Gorenstein ring [Formula: see text], Enochs et al. in [Gorenstein projective resolvents, Comm. Algebra 44 (2016) 3989–4000] defined a functor [Formula: see text] and showed that this functor can be computed by taking a totally acyclic complex arising from a projective coresolution of the first component or a totally acyclic complex arising from a projective resolution of the second component. In order to define the functor [Formula: see text] over general rings, we introduce the right Gorenstein projective dimension of an [Formula: see text]-module [Formula: see text], [Formula: see text], via Gorenstein projective coresolutions, and give some equivalent characterizations for the finiteness of [Formula: see text]. Then over a general ring [Formula: see text] we define a co-Tate homology group [Formula: see text] for [Formula: see text]-modules [Formula: see text] and [Formula: see text] with [Formula: see text] and [Formula: see text], and prove that [Formula: see text] can be computed by complete projective coresolutions of the first variable or by complete projective resolutions of the second variable." @default.
- W4328003374 created "2023-03-22" @default.
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- W4328003374 date "2022-03-20" @default.
- W4328003374 modified "2023-09-22" @default.
- W4328003374 title "Gorenstein Projective Coresolutions and Co-Tate Homology Functors" @default.
- W4328003374 doi "https://doi.org/10.1142/s1005386723000020" @default.
- W4328003374 hasPublicationYear "2022" @default.
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