Purity and ascent for Gorenstein flat cotorsion modules
I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
The extension of scalars functor along a finite ring homomorphism is a classic example of a
functor which preserves purity and pure injectivity. We consider how this functor behaves …
functor which preserves purity and pure injectivity. We consider how this functor behaves …
Homological and homotopical aspects of Gorenstein flat modules and complexes relative to duality pairs
V Becerril, MA Pérez - arXiv preprint arXiv:2210.11014, 2022 - arxiv.org
We study homological and homotopical aspects of Gorenstein flat modules over a ring with
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …
[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 …
The Nakayama functor and its completion for Gorenstein algebras
SB Iyengar, H Krause - arXiv preprint arXiv:2010.05676, 2020 - arxiv.org
Duality properties are studied for a Gorenstein algebra that is finite and projective over its
center. Using the homotopy category of injective modules, it is proved that there is a local …
center. Using the homotopy category of injective modules, it is proved that there is a local …
Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory
LW Christensen, S Estrada… - … combinatorial methods in …, 2020 - books.google.com
We introduce a notion of total acyclicity associated to a subcategory of an abelian category
and consider the Gorenstein objects they define. These Gorenstein objects form a Frobenius …
and consider the Gorenstein objects they define. These Gorenstein objects form a Frobenius …
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 …
Gorenstein complexes and recollements from cotorsion pairs
J Gillespie - arXiv preprint arXiv:1210.0196, 2012 - arxiv.org
We describe a general correspondence between injective (resp. projective) recollements of
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model …
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model …
Relative Gorenstein flat modules and Foxby classes and their model structures
A model structure on a category is a formal way of introducing a homotopy theory on that
category, and if the model structure is abelian and hereditary, its homotopy category is …
category, and if the model structure is abelian and hereditary, its homotopy category is …
[图书][B] Homological Algebra of Gorenstein Rings
HH Henningsen - 2020 - search.proquest.com
We study three triangulated categories associated to a Gorenstein ring, that is, a right-and
left-noetherian ring with finite right and left injective dimension. After a survey of exact …
left-noetherian ring with finite right and left injective dimension. After a survey of exact …
The stable category of monomorphisms between (Gorenstein) projective modules with applications
A Bahlekeh, FS Fotouhi, MA Hamlehdari… - Forum …, 2024 - degruyter.com
Let (S, 𝔫) be a commutative noetherian local ring and let ω∈ 𝔫 be non-zerodivisor. 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 …