K-flatness and orthogonality in homotopy categories
I Emmanouil - Israel Journal of Mathematics, 2023 - Springer
K-flatness for unbounded complexes of modules over a ring R was introduced by
Spaltenstein [27], as an analogue of the classical notion of flatness for modules. In this …
Spaltenstein [27], as an analogue of the classical notion of flatness for modules. In this …
Gorenstein projective objects in functor categories
S Kvamme - Nagoya Mathematical Journal, 2020 - cambridge.org
Let $ k $ be a commutative ring, let ${\mathcal {C}} $ be a small, $ k $-linear, Hom-finite,
locally bounded category, and let ${\mathcal {B}} $ be a $ k $-linear abelian category. We …
locally bounded category, and let ${\mathcal {B}} $ be a $ k $-linear abelian category. We …
[HTML][HTML] Triangulated equivalence between a homotopy category and a triangulated quotient category
Z Di, Z Liu, X Yang, X Zhang - Journal of Algebra, 2018 - Elsevier
Given two complete hereditary cotorsion pairs (Q, R) and (Q′, R′) in a bicomplete abelian
category G such that Q′⊆ Q and Q∩ R= Q′∩ R′, Becker showed that there exists a …
category G such that Q′⊆ Q and Q∩ R= Q′∩ R′, Becker showed that there exists a …
[HTML][HTML] Gorenstein singularity categories
Y Bao, X Du, Z Zhao - Journal of Algebra, 2015 - Elsevier
The aim of this paper is to introduce Gorenstein singularity category D gpsgb (A), as the
Verdier quotient of the Gorenstein derived category D gpb (A) by the triangulated …
Verdier quotient of the Gorenstein derived category D gpb (A) by the triangulated …
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 …
Local homology and Gorenstein flat modules
FMA Mashhad, K Divaani-Aazar - Journal of Algebra and Its …, 2012 - World Scientific
Let R be a commutative Noetherian ring, 𝔞 be an ideal of R and denote the derived category
of R-modules. We investigate the theory of local homology in conjunction with Gorenstein …
of R-modules. We investigate the theory of local homology in conjunction with Gorenstein …
One-sided Gorenstein subcategories
W Song, T Zhao, Z Huang - Czechoslovak Mathematical Journal, 2020 - Springer
We introduce the right (left) Gorenstein subcategory relative to an additive subcategory CC
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …
Homological epimorphisms, compactly generated t-structures and Gorenstein-projective modules
N Gao, X Xu - Chinese Annals of Mathematics, Series B, 2018 - Springer
The aim of this paper is two-fold. Given a recollement (T′, T, T ″, i*, i*, i!, j!, j*, j*), where
T′, T, T ″are triangulated categories with small coproducts and T is compactly generated …
T′, T, T ″are triangulated categories with small coproducts and T is compactly generated …
[PDF][PDF] HOMOLOGICAL ASPECTS OF GORENSTEIN FLAT MODULES RELATIVE TO DUALITY PAIRS
V BECERRIL, MA PÉREZ - arXiv preprint arXiv:2210.11014, 2022 - researchgate.net
We study homological aspects of Gorenstein flat modules over a ring with respect to a
duality pair (L, A). These modules are defined as cycles of exact chain complexes with …
duality pair (L, A). These modules are defined as cycles of exact chain complexes with …
Gorenstein injective and strongly cotorsion modules
Z Huang - Israel Journal of Mathematics, 2013 - Springer
By investigating the properties of some special covers and envelopes of modules, we prove
that if R is a Gorenstein ring with the injective envelope of RR flat, then a left R-module is …
that if R is a Gorenstein ring with the injective envelope of RR flat, then a left R-module is …