On the freeness of dual semidualizing modules
M Bagheri, A Taherizadeh - Communications in Algebra, 2022 - Taylor & Francis
… R-module C is called a semidualizing module whenever χ C is … module of a Cohen–Macaulay
local ring are semidualizing … By tensoring both side with C, we get ( M ⊗ R C ) ⊗ R ω R ≅ ω …
local ring are semidualizing … By tensoring both side with C, we get ( M ⊗ R C ) ⊗ R ω R ≅ ω …
Theory of linkage, Gorenstein dimension and two semidualizing modules
TS Souza - Journal of Algebra and Its Applications, 2023 - World Scientific
… The notion of semidualizing module has become a central object in homological algebra
since its … Among various research areas on semidualizing modules, one basically focuses on …
since its … Among various research areas on semidualizing modules, one basically focuses on …
Numerical aspects of complexes of finite homological dimensions
… As an application of Theorem (A), we provide some criteria for a semidualizing complex
C to be dualizing in terms of the existence of certain complexes of finite GC-dimension; see …
C to be dualizing in terms of the existence of certain complexes of finite GC-dimension; see …
FPn-injective and FPn-flat modules with respect to a semidualizing bimodule
W Wu, Z Gao - Communications in Algebra, 2022 - Taylor & Francis
… Since then, the research on this aspect has also been studied by … homological algebra
associated to the notions of FP n -injective and FP n -flat modules with respect to a semidualizing …
associated to the notions of FP n -injective and FP n -flat modules with respect to a semidualizing …
The balance of relative Ext groups defined by semidualizing modules
KA Beigi, K Divaani-Aazar, M Tousi - Journal of Algebra and Its …, 2023 - World Scientific
… the study of semidualizing modules under other names. The notion of semidualizing modules
… a generalization of that of dualizing modules, in fact, a dualizing module is a semidualizing …
… a generalization of that of dualizing modules, in fact, a dualizing module is a semidualizing …
On the theory and applications of -dimension with respect to a semidualizing module
CB Miranda-Neto, TS Souza - Journal of Algebra and Its …, 2023 - World Scientific
… semidualizing modules has been recognized as one of the cornerstones of relative homological
… situations, and therefore, due to their interesting features, they are worthy to investigate (…
… situations, and therefore, due to their interesting features, they are worthy to investigate (…
Relative Gorenstein flat modules and dimension
… modules, and we compare the corresponding homological … all type of homological aspects
and questions of these modules. … W with less restrictive conditions than semidualizing modules…
and questions of these modules. … W with less restrictive conditions than semidualizing modules…
Semidualizing Modules over Numerical Semigroup Rings
E Celikbas, H Geller, T Kobayashi - arXiv preprint arXiv:2306.14989, 2023 - arxiv.org
… semidualizing modules”, see [8]. Since then, significant research has been conducted on the
homological properties, homological … ring and generated by four elements tm1 , tm2 , tm3 , …
homological properties, homological … ring and generated by four elements tm1 , tm2 , tm3 , …
Gorenstein homological modules and Auslander categories with respect to a semidualizing module.
D Jun, WEI Jie - Acta Scientiarum Naturalium Universitatis …, 2023 - search.ebscohost.com
… examples of semidualizing modules include the rank 1 free module and a dualizing module,
… Homological aspects of semidualizing modules[J]. Math Scand,106(1):5-22. WHITE D,2010. …
… Homological aspects of semidualizing modules[J]. Math Scand,106(1):5-22. WHITE D,2010. …
[PDF][PDF] Homological Dimensions under Foxby Equivalence
YN Li, Z Huang - maths.nju.edu.cn
… 12] introduced the so-called semidualizing modules and related Auslander and Bass classes…
Let R and S be arbitrary rings and RCS a semidualizing bimodule, and let AC(S) and BC(R) …
Let R and S be arbitrary rings and RCS a semidualizing bimodule, and let AC(S) and BC(R) …