Linkage module by G_K-perfect module and behavior of graded reduced
F Dehghani-Zadeh - Journal of New Researches in …, 2022 - journals.srbiau.ac.ir
… Let K be a semidualizing R-module and χ_n be a … linked modules to linked modules with
respect to χ_n. In particular, we define the reduce grade of R-module M then for linked module …
respect to χ_n. In particular, we define the reduce grade of R-module M then for linked module …
Some homological properties of amalgamated modules along an ideal
… )-module M ⊲⊳ϕ JN in connection to their corresponding properties of the R-modules M and
… Yassemi: The amalgamated duplication of a ring along a semidualizing ideal. Rend. Semin. …
… Yassemi: The amalgamated duplication of a ring along a semidualizing ideal. Rend. Semin. …
On the new intersection theorem for totally reflexive modules
K Divaani-Aazar, FMA Mashhad, E Tavanfar… - Collectanea …, 2020 - Springer
… for every totally reflexive R-module M, there is a big Cohen–Macaulay R-module \(B_M\) …
R-module. It is conjectured that if R admits a non-zero Cohen–Macaulay module of finite …
R-module. It is conjectured that if R admits a non-zero Cohen–Macaulay module of finite …
[PDF][PDF] On the C-flatness and injectivity of character modules
Z Huang - Electronic Research Archive, 2022 - aimspress.com
… semidualizing modules and related modules; see [6–17], and so on. Among various research
areas on semidualizing modules… setting with respect to semidualizing modules. The aim of …
areas on semidualizing modules… setting with respect to semidualizing modules. The aim of …
Rigid Dualizing Complexes over Commutative Rings and their Functorial Properties
M Ornaghi, S Singh, A Yekutieli - arXiv preprint arXiv:2402.07150, 2024 - arxiv.org
… 𝐴-module is the same as a complex of 𝐴-modules. Since 𝐴 is commutative, we can make 𝑀
into a right DG 𝐴-module, … Some texts use the name semi-dualizing complex for a complex 𝑀 …
into a right DG 𝐴-module, … Some texts use the name semi-dualizing complex for a complex 𝑀 …
Adic Foxby classes
SK Sather-Wagstaff, R Wicklein - Algebras and Representation Theory, 2021 - Springer
… semidualizing complexes over a commutative noetherian ring R by investigating the associated
… the Auslander and Bass classes associated to a given adic semidualizing complex. We …
… the Auslander and Bass classes associated to a given adic semidualizing complex. We …
Local cohomology and Foxby classes
M Ahmadi, A Rahimi - Acta Mathematica Hungarica, 2024 - Springer
… Let R be a commutative Noetherian ring and C a semidualizing R-module. The Auslander
and Bass classes of R with respect to C are denoted by sC(R) and SC(R), respectively, which …
and Bass classes of R with respect to C are denoted by sC(R) and SC(R), respectively, which …
Some Notes of DC-Projective Modules
D HE, L FAN - Journal of Jishou University (Natural Sciences …, 2021 - zkxb.jsu.edu.cn
… modules with respect to a semidualizing module C are investigated, and relationships
between related classes of modules … R-modules, and PC(R) denotes the class of all R-modules …
between related classes of modules … R-modules, and PC(R) denotes the class of all R-modules …
Balance for relative cohomology of complexes
Z Di, B Lu, J Zhao - Journal of Algebra and Its Applications, 2020 - World Scientific
… , a balance result of Sather-Wagstaff, Sharif and White on Gorenstein projective and injective
modules with respect to semidualizing modules, and a balance result of Liu on Gorenstein …
modules with respect to semidualizing modules, and a balance result of Liu on Gorenstein …
Relative Gorenstein flat modules and dimension
… As aforementioned, the development of this study will be based on modules W with less
restrictive conditions than semidualizing modules, which we will call w + -tilting …
restrictive conditions than semidualizing modules, which we will call w + -tilting …