Relative global Gorenstein dimensions

Author:

Becerril Víctor1

Affiliation:

1. Instituto de Matemática y Estadística “Prof. Ing. Rafael Laguardia”, Facultad de Ingeniería. Universidad de la República, CP11300 Montevideo, Uruguay

Abstract

Let [Formula: see text] be an abelian category. In this paper, we investigate the global [Formula: see text]-Gorenstein projective dimension [Formula: see text], associated to a GP-admissible pair [Formula: see text]. We give homological conditions over [Formula: see text] that characterize it. Moreover, given a GI-admissible pair [Formula: see text], we study conditions under which [Formula: see text] and [Formula: see text] are the same.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Corrigendum to “m-Periodic Gorenstein objects” [J. Algebra 621 (2023) 1–40];Journal of Algebra;2024-09

2. Finiteness of relative Gorenstein homological dimensions;Journal of Algebra and Its Applications;2023-09-15

3. Weakly Ding injective modules and complexes;Communications in Algebra;2023-06-14

4. m-Periodic Gorenstein objects;Journal of Algebra;2023-05

5. (F, A)-GORENSTEIN FLAT HOMOLOGICAL DIMENSIONS;J KOREAN MATH SOC;2022

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