复形的Gorenstein (L, A)-内射维数
刘妍平 - 吉林大学学报(理学版), 2024 - xuebao.jlu.edu.cn
Let (L, A) be a fixed complete duality pair. Firstly, the author introduced the Gorenstein (L, A)-
injective dimension of complexes, gave its characterization, and proved that Gorenstein (L …
injective dimension of complexes, gave its characterization, and proved that Gorenstein (L …
The Right Gorenstein Subcategory
ZH Gao, W Wu - Acta Mathematica Sinica, English Series, 2023 - Springer
In this paper, we generalize the idea of Song, Zhao and Huang [Czechoslov. Math. J., 70,
483–504 (2020)] and introduce the notion of right (left) Gorenstein subcategory r G (C, D)(l G …
483–504 (2020)] and introduce the notion of right (left) Gorenstein subcategory r G (C, D)(l G …
Homological dimensions relative to special subcategories
W Song, T Zhao, Z Huang - Algebra Colloquium, 2021 - World Scientific
Let A be an abelian category, C an additive, full and self-orthogonal subcategory of A closed
under direct summands, r G (C) the right Gorenstein subcategory of A relative to C, and⊥ C …
under direct summands, r G (C) the right Gorenstein subcategory of A relative to C, and⊥ C …
Tate Cohomology of Complexes with Respect to Cotorsion Pairs
C Zao-hong, Y Xiao-yan - Journal of Southwest China Normal …, 2021 - xbgjxt.swu.edu.cn
Abstract Let ($\mathscr {X} $, $\mathscr {Y} $) be a complete and hereditary cotorsion pair in
a bicomplete abelian category $\mathscr {A} $. We give definition of Gorenstein category …
a bicomplete abelian category $\mathscr {A} $. We give definition of Gorenstein category …