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
… generated homology, Christensen introduced the dimension G-… bounded and finitely generated
homology. To circumvent … homological dimension based on a larger class of complexes…
homology. To circumvent … homological dimension based on a larger class of complexes…
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
… Totushek, Using semidualizing complexes to detect Gorenstein rings, Arch. Math. (Basel) …
Yassemi, Modules of finite homological dimension with respect to a semidualizing module, Arch…
Yassemi, Modules of finite homological dimension with respect to a semidualizing module, Arch…
Characterizing certain semidualizing complexes via their Betti and Bass numbers
K Abolfath Beigi, K Divaani-Aazar… - Communications in …, 2022 - Taylor & Francis
… semidualizing complexes with finite injective dimension. It is known that a homologically
bounded complex X with finitely generated homology … consider a semidualizing complex C with …
bounded complex X with finitely generated homology … consider a semidualizing complex C with …
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 …
Adic semidualizing complexes
SK Sather-Wagstaff, R Wicklein - Journal of Algebra and Its …, 2022 - World Scientific
We introduce and study a class of objects that encompasses Christensen and Foxby’s
semidualizing modules and complexes and Kubik’s quasi-dualizing modules: the class of 𝔞 -adic …
semidualizing modules and complexes and Kubik’s quasi-dualizing modules: the class of 𝔞 -adic …
[PDF][PDF] On (Gorenstein) homological dimensions relative to a non-necessary semidualizing module.
R El Maaouy - 2022 - researchgate.net
… Are the conditions on C to be semidualizing necessary so that the relative homological
dimensions preserve their properties? If not, what are the minimum necessary conditions? …
dimensions preserve their properties? If not, what are the minimum necessary conditions? …
Pseudo-dualizing complexes and pseudo-derived categories
L Positselski - Rendiconti del Seminario Matematico della Università …, 2020 - ems.press
… complex (known as a “semi-dualizing complex” in the literature) interpolates between those
of a dualizing and a dedualizing complex. … same up to finite homological dimension”, and so …
of a dualizing and a dedualizing complex. … same up to finite homological dimension”, and so …
Theory of linkage, Gorenstein dimension and two semidualizing modules
TS Souza - Journal of Algebra and Its Applications, 2023 - World Scientific
… results of homological algebra to the relative setting with respect to a semidualizing module…
For instance, this has been done for the classical and Gorenstein homological dimensions …
For instance, this has been done for the classical and Gorenstein homological dimensions …
[PDF][PDF] RESULTS ON AMALGAMATION ALONG A SEMIDUALIZING IDEAL
… that how a semidualizing module C gives rise to three new relative homological dimensions
which are called GC… A GPC-resolution of M is a complex of R-modules in GPC(R) of the form …
which are called GC… A GPC-resolution of M is a complex of R-modules in GPC(R) of the form …
Balance for relative cohomology of complexes
Z Di, B Lu, J Zhao - Journal of Algebra and Its Applications, 2020 - World Scientific
… The relative homological theory goes back to Butler and Horrocks [4], and Eilenberg and …
tively, GC-injective) complexes, where C is a semidualizing module over a commutative ring, …
tively, GC-injective) complexes, where C is a semidualizing module over a commutative ring, …