The stable category of monomorphisms between (Gorenstein) projective modules with applications
A Bahlekeh, FS Fotouhi, MA Hamlehdari… - arXiv preprint arXiv …, 2024 - arxiv.org
Let (S; n) be a commutative noetherian local ring and let w in n be non-zero divisor. This
paper is concerned with the two categories of monomorphisms between finitely generated …
paper is concerned with the two categories of monomorphisms between finitely generated …
Gorenstein cohomological dimension and stable categories for groups
W Ren - arXiv preprint arXiv:2206.09589, 2022 - arxiv.org
First we study the Gorenstein cohomological dimension ${\rm Gcd} _RG $ of groups $ G $
over coefficient rings $ R $, under changes of groups and rings; a characterization for …
over coefficient rings $ R $, under changes of groups and rings; a characterization for …
Gorenstein D-branes of type B
A Bahlekeh, FS Fotouhi, A Nateghi… - arXiv preprint arXiv …, 2024 - arxiv.org
Let (S; n) be a commutative noetherian local ring and w in n be non-zerodivisor. We propose
a natural definition of the category of Gorenstein pairs of w, by replacing projectives with …
a natural definition of the category of Gorenstein pairs of w, by replacing projectives with …
Stable functors of derived equivalences and Gorenstein projective modules
From certain triangle functors, called nonnegative functors, between the bounded derived
categories of abelian categories with enough projective objects, we introduce their stable …
categories of abelian categories with enough projective objects, we introduce their stable …
Stability of Gorenstein flat categories with respect to a semidualizing module
Z Di, Z Liu, J Chen - 2015 - projecteuclid.org
We first introduce in the paper the W_F-Gorenstein modules to establish the following Foxby
equivalence: \xymatrix@C=80ptG(F)∩A_C\ar@\lt0.5ex>r^C⊗_R-\amp\,\,\,\,G(W_F)\ar@\lt0 …
equivalence: \xymatrix@C=80ptG(F)∩A_C\ar@\lt0.5ex>r^C⊗_R-\amp\,\,\,\,G(W_F)\ar@\lt0 …
On stability of Gorenstein categories
A Xu, N Ding - Communications in Algebra, 2013 - Taylor & Francis
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
Equivalences of stable categories of Gorenstein local rings
TJ Puthenpurakal - arXiv preprint arXiv:2403.05097, 2024 - arxiv.org
arXiv:2403.05097v1 [math.AC] 8 Mar 2024 Page 1 arXiv:2403.05097v1 [math.AC] 8 Mar 2024
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …
On stable equivalences, perfect exact sequences and Gorenstein-projective modules
S Nitsche - arXiv preprint arXiv:2109.12981, 2021 - arxiv.org
We consider the equivalence from the stable module category to a subcategory $\mathcal
{L} _A $ of the homotopy category constructed by Kato. This equivalence induces a …
{L} _A $ of the homotopy category constructed by Kato. This equivalence induces a …
[PDF][PDF] ON YOSHINO'S STABLE COMPLEX THEORY
Y OTAKE - s-murai.w.waseda.jp
Let R be a commutative noetherian ring. We denote by modR the category of finitely
generated R-modules and by projR the full subcategory of modR consisting of finitely …
generated R-modules and by projR the full subcategory of modR consisting of finitely …
[HTML][HTML] Change of rings and singularity categories
S Oppermann, C Psaroudakis, T Stai - Advances in Mathematics, 2019 - Elsevier
We investigate the behavior of singularity categories and stable categories of Gorenstein
projective modules along a morphism of rings. The natural context to approach the problem …
projective modules along a morphism of rings. The natural context to approach the problem …