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

Some homological properties of amalgamated modules along an ideal

H Shoar, M Salimi, A Tehranian, H Rasouli… - Czechoslovak …, 2023 - Springer
… )-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. …

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 …

[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 …

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 …

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 …

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 …

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

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 …

Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
… 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 …