Gorenstein dimensions of unbounded complexes and change of base (with an appendix by Driss Bennis)
LW Christensen, F Köksal, L Liang - Science China Mathematics, 2017 - Springer
For a commutative ring R and a faithfully flat R-algebra S we prove, under mild extra
assumptions, that an R-module M is Gorenstein flat if and only if the left S-module S⊗ RM is …
assumptions, that an R-module M is Gorenstein flat if and only if the left S-module S⊗ RM is …
[引用][C] 复形的FR-内射维数与FR-平坦维数
卢博， 禄鹏 - 山东大学学报(理学版), 2018 - lxbwk.njournal.sdu.edu.cn
复形的FR-内射维数与FR-平坦维数 Page 1 山东大学学报(理学版)2018年6月第53卷第6期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.53ꎬ No.6ꎬ 2018 http:/ / lxbwk.njournal.sdu.edu.cn …
Journal of Shandong University (Natural Science)ꎬ Vol.53ꎬ No.6ꎬ 2018 http:/ / lxbwk.njournal.sdu.edu.cn …
Gorenstein projective dimensions of complexes under base change with respect to a semidualizing module
C Zhang - Bulletin of the Korean Mathematical Society, 2021 - koreascience.kr
Abstract Let R→ S be a ring homomorphism. The relations of Gorenstein projective
dimension with respect to a semidualizing module of homologically bounded complexes …
dimension with respect to a semidualizing module of homologically bounded complexes …
[PDF][PDF] Gorenstein dimensions of unbounded complexes under base change
D Wu - Bulletin of the Korean Mathematical Society, 2016 - academia.edu
Transfer of homological properties under base change is a classical field of study. Let R→ S
be a ring homomorphism. The relations of Gorenstein projective (or Gorenstein injective) …
be a ring homomorphism. The relations of Gorenstein projective (or Gorenstein injective) …
New Characterizations of Restricted Injective Dimensions for Complexes
D Wu, Z Miao - Indian Journal of Pure and Applied Mathematics, 2020 - Springer
In this paper, we study the restricted injective dimensions of complexes. Some new
characterizations of the restricted injective dimensions are obtained. In particular, it is shown …
characterizations of the restricted injective dimensions are obtained. In particular, it is shown …
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 …
Gorenstein dimensions of unbounded complexes and faithfully flat change of base (With an appendix by Driss Bennis)
LW Christensen, F Koksal, L Liang - arXiv preprint arXiv:1512.01120, 2015 - arxiv.org
For a commutative ring R and a faithfully flat R-algebra S we prove, under mild extra
assumptions, that an R-module M is Gorenstein flat if and only if the left S-module S\otimes …
assumptions, that an R-module M is Gorenstein flat if and only if the left S-module S\otimes …