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( , )-GORENSTEIN FLAT HOMOLOGICAL DIMENSIONS

Becerril, Victor

Journal of the Korean Mathematical Society, 2022-11, Vol.59 (6), p.1203-1227 [Periódico revisado por pares]

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Título:
( , )-GORENSTEIN FLAT HOMOLOGICAL DIMENSIONS
Autor: Becerril, Victor
É parte de: Journal of the Korean Mathematical Society, 2022-11, Vol.59 (6), p.1203-1227
Notas: KISTI1.1003/JNL.JAKO202231364157427
Descrição: In this paper we develop the homological properties of the Gorenstein ( , )-flat R-modules ( (R), ) proposed by Gillespie, where the class ⊆ Mod(Rop) sometimes corresponds to a duality pair ( , ). We study the weak global and finitistic dimensions that come with the class ( (R), ) and show that over a ( , )-Gorenstein ring, the functor - ⊗R - is left balanced over Mod(Rop) × Mod(R) by the classes ( (Rop), ) × ( (R), ). When the duality pair is ( (R), Inj(Rop)) we recover the G. Yang's result over a Ding-Chen ring, and we see that is new for (Lev(R), AC(Rop)) among others.
Idioma: Coreano

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