Tate cohomology for complexes with finite Gorenstein AC-injective dimension
J Xing, T Zhao, Y Li, J Hu - Bulletin of the Iranian Mathematical Society, 2019 - Springer
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 …
complexes of left modules over associative rings. We show first that the class of complexes …
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 …
Gorenstein 正则环, 奇点范畴和Ding 模
W Jun Peng, ZX DI - 数学学报, 2019 - actamath.cjoe.ac.cn
²¹ ½ Á È730070 à ½ ¿ À Á È730070 ƶµ» ÄDing ¼ ¾ ÄDing ¼ ¾ Ç, ±µ Ä ¾ . ¼·; º Page 1
62¹ 2 数学学ª « Vol.62, No.2 2019 3月 ACTA MATHEMATICA SINICA, CHINESE SERIES …
62¹ 2 数学学ª « Vol.62, No.2 2019 3月 ACTA MATHEMATICA SINICA, CHINESE SERIES …
Gorenstein AC-projective dimension of unbounded complexes
Z Di, X Zhang, J Chen - Communications in Algebra, 2017 - Taylor & Francis
Recently, the notion of Gorenstein AC-projective (resp., Gorenstein AC-injective) modules
was introduced in by which the so-called “Gorenstein AC-homological algebra” was …
was introduced in by which the so-called “Gorenstein AC-homological algebra” was …
Avramov–Martsinkovsky type exact sequences with tor functors
CX Zhang, L Liang - Acta Mathematica Sinica, English Series, 2017 - Springer
For two classes of right R-modules W, X such that P⊂ W⊂ X, where P is the class of
projective right R-modules, we show that there is an Avramov–Martsinkovsky type exact …
projective right R-modules, we show that there is an Avramov–Martsinkovsky type exact …
On Gorenstein Projective Dimensions of Unbounded Complexes
Z Liu, Z Wang - Chinese Annals of Mathematics, Series B, 2020 - Springer
Abstract Let R→ S be a ring homomorphism and X be a complex of R-modules. Then the
complex of S-modules S⊗ RLX in the derived category D (S) is constructed in the natural …
complex of S-modules S⊗ RLX in the derived category D (S) is constructed in the natural …