Relative Gorenstein objects in abelian categories
Let A be an abelian category. For a pair (X, Y) of classes of objects in A, we define the weak
and the (X, Y)-Gorenstein relative projective objects in A. We point out that such objects …
and the (X, Y)-Gorenstein relative projective objects in A. We point out that such objects …
Tilting subcategories with respect to cotorsion triples in abelian categories
Z Di, J Wei, X Zhang, J Chen - Proceedings of the Royal Society of …, 2017 - cambridge.org
Given a non-negative integer n and a complete hereditary cotorsion triple, the notion of
subcategories in an abelian category is introduced. It is proved that a virtually Gorenstein …
subcategories in an abelian category is introduced. It is proved that a virtually Gorenstein …
GORENSTEIN CATEGORIES 𝒢 (𝒳, 𝒴, 𝒵) AND DIMENSIONS
X Yang - The Rocky Mountain Journal of Mathematics, 2015 - JSTOR
Let 𝒜 be an abelian category and 𝒳, 𝒴, 𝒵 additive full subcategories of 𝒜. We introduce and
study the Gorenstein category 𝒢 (𝒳, 𝒴, 𝒵) as a common generalization of some known …
study the Gorenstein category 𝒢 (𝒳, 𝒴, 𝒵) as a common generalization of some known …
[PDF][PDF] A brief introduction to Gorenstein projective modules
P Zhang - Notes https://www. math. uni-bielefeld. de/~ sek/sem …, 2008 - Citeseer
Since Eilenberg and Moore [EM], the relative homological algebra, especially the
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …
[HTML][HTML] Gorenstein derived equivalences and their invariants
J Asadollahi, R Hafezi, R Vahed - Journal of Pure and Applied Algebra, 2014 - Elsevier
The main objective of this paper is to study the relative derived categories from various
points of view. Let A be an abelian category and C be a contravariantly finite subcategory of …
points of view. Let A be an abelian category and C be a contravariantly finite subcategory of …
$\V\W $-Gorenstein categories
G Zhao, J Sun - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
Let $\A $ be an abelian category, and $\V $, $\W $ two additive full subcategories of $\A $.
We introduce and study the $\V\W $-Gorenstein subcategory of $\A $, which unifies many …
We introduce and study the $\V\W $-Gorenstein subcategory of $\A $, which unifies many …
Stability of Gorenstein categories
KA Sather-Wagstaff, T Sharif… - Journal of the London …, 2008 - Wiley Online Library
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a commutative ring R yields exactly the Gorenstein projective modules. Specifically …
over a commutative ring R yields exactly the Gorenstein projective modules. Specifically …
Relative singularity categories and Gorenstein-projective modules
XW Chen - arXiv preprint arXiv:0709.1762, 2007 - arxiv.org
We introduce the notion of relative singularity category with respect to any self-orthogonal
subcategory $\omega $ of an abelian category. We introduce the Frobenius category of …
subcategory $\omega $ of an abelian category. We introduce the Frobenius category of …
Relative singularity categories and Gorenstein‐projective modules
XW Chen - Mathematische Nachrichten, 2011 - Wiley Online Library
We introduce the notion of relative singularity category with respect to a self‐orthogonal
subcategory ω of an abelian category. We introduce the Frobenius category of ω‐Cohen …
subcategory ω of an abelian category. We introduce the Frobenius category of ω‐Cohen …