Relative Gorenstein dimensions
D Bennis, JR García Rozas, L Oyonarte - Mediterranean Journal of …, 2016 - Springer
… In the last years (Gorenstein) homological dimensions relative to a semidualizing module
C have been subject of several works as interesting extensions of (Gorenstein) homological …
C have been subject of several works as interesting extensions of (Gorenstein) homological …
Gorenstein projective dimension relative to a semidualizing bimodule
Z Liu, Z Huang, A Xu - Communications in Algebra, 2013 - Taylor & Francis
… with all G i , G i G C -projective, such that Hom S (𝔾, T) is still exact for any module T which …
G C -projective dimension of modules. When S C R is a faithfully semidualizing bimodule, we …
G C -projective dimension of modules. When S C R is a faithfully semidualizing bimodule, we …
Gorenstein projective dimension with respect to a semidualizing module
D White - Journal of Commutative Algebra, 2010 - JSTOR
… modules over (possibly non-Noetherian) commutative rings, where C is a semidualizing
module… proper resolution X and N is an R-module, the nth relative homology module and the nth …
module… proper resolution X and N is an R-module, the nth relative homology module and the nth …
Relative grade and relative Gorenstein dimension with respect to a semidualizing module
M Salimi, E Tavasoli - Proceedings-Mathematical Sciences, 2023 - Springer
… Throughout this paper, R is a commutative Noetherian ring and all modules are unital. The
notion of a “semidualizing module” is a central notion in relative homological algebra. Ever …
notion of a “semidualizing module” is a central notion in relative homological algebra. Ever …
[HTML][HTML] The role of w-tilting modules in relative Gorenstein (co) homology
… We investigate Gorenstein flat modules relative to a not necessarily semidualizing module
… However, when the ring is no longer Gorenstein, modules of finite Gorenstein injective or …
… However, when the ring is no longer Gorenstein, modules of finite Gorenstein injective or …
Relative Gorenstein injective covers with respect to a semidualizing module
E Tavasoli, M Salimi - Czechoslovak Mathematical Journal, 2017 - Springer
… a semidualizing Rmodule. We prove a result about the covering properties of the class of
relative Gorenstein injective modules … every GC-injective module G, the character module G+ is …
relative Gorenstein injective modules … every GC-injective module G, the character module G+ is …
[PDF][PDF] Gorenstein homological dimensions with respect to a semidualizing module
Z Zhang, J Wei - International Electronic Journal of Algebra, 2018 - dergipark.org.tr
… ) and Vasconcelos [12] (spherical modules), which can be viewed as a generalization of …
module and free module of rank one. Relative algebra with respect to a semidualizing module …
module and free module of rank one. Relative algebra with respect to a semidualizing module …
Theory of linkage, Gorenstein dimension and two semidualizing modules
TS Souza - Journal of Algebra and Its Applications, 2024 - World Scientific
… relative setting with respect to two semidualizing modules C and S. More precisely, for an
R-… concept of transpose of a module with respect to a semidualizing module C (see Geng [8]). …
R-… concept of transpose of a module with respect to a semidualizing module C (see Geng [8]). …
[HTML][HTML] Stability of Gorenstein modules with respect to a semidualizing module
Z WANG, S GUO - 数学杂志, 2017 - sxzz.whu.edu.cn
… C-injective and Gorenstein C-flat modules). With the method … Gorenstein C-projective (resp.,
C-injective, C-flat) modules … that Gorenstein projective (resp., injective, flat) modules have …
C-injective, C-flat) modules … that Gorenstein projective (resp., injective, flat) modules have …
[HTML][HTML] Relative Gorenstein dimensions over triangular matrix rings
… In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are
investigated. We first study how to construct w-tilting (tilting, semidualizing) over T using the …
investigated. We first study how to construct w-tilting (tilting, semidualizing) over T using the …