[HTML][HTML] Derived equivalences of functor categories
J Asadollahi, R Hafezi, R Vahed - Journal of Pure and Applied Algebra, 2019 - Elsevier
Let Mod-S denote the category of S-modules, where S is a small pre-additive category.
Using the notion of relative derived categories of functor categories, we generalize Rickard's …
Using the notion of relative derived categories of functor categories, we generalize Rickard's …
[PDF][PDF] Endomorphism rings and category equivalences
JL Garcia, M Saorin - Journal of Algebra, 1989 - core.ac.uk
The use of category equivalences for the study of endomorphism rings stems from the Morita
theorem. In a sense, this theorem can be viewed as stating that if P is a finitely generated …
theorem. In a sense, this theorem can be viewed as stating that if P is a finitely generated …
Extensions, kernels and cokernels of homologically finite subcategories
R Gentle, G Todorov - Representation theory of algebras …, 1996 - books.google.com
We prove the following results for the subcategories of an abelian category: 1) The full
subcategory whose objects are kernels of the maps between two covariantly finite …
subcategory whose objects are kernels of the maps between two covariantly finite …
Adjoint functors and equivalences of subcategories
FC Iglesias, J Gómez-Torrecillas, R Wisbauer - Bulletin des sciences …, 2003 - Elsevier
For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …
[PDF][PDF] Modules with Morita-equivalent endomorphism rings
U Albrecht - Houst. J. Math, 2002 - Citeseer
Let A and B be modules, which are faithfully flat over their endomorphism ring. The
categories of A-solvable and B-solvable modules coincide if and only if A and B are similar …
categories of A-solvable and B-solvable modules coincide if and only if A and B are similar …
On relative derived categories
J Asadollahi, P Bahiraei, R Hafezi… - Communications in …, 2016 - Taylor & Francis
The paper is devoted to study some of the questions arises naturally in connection to the
notion of relative derived categories. In particular, we study invariants of recollements …
notion of relative derived categories. In particular, we study invariants of recollements …
[HTML][HTML] On pure derived categories
Y Zheng, Z Huang - Journal of Algebra, 2016 - Elsevier
We investigate the properties of pure derived categories of module categories, and show
that pure derived categories share many nice properties of classical derived categories. In …
that pure derived categories share many nice properties of classical derived categories. In …
Recollements induced by monomorphism categories
Z Wang, Z Liu - Journal of Algebra, 2022 - Elsevier
Let R be any associative ring, na positive integer and X a full subcategory of the category of
R-modules. The monomorphism category S n (X) of X consists of all the objects (X i, φ i) …
R-modules. The monomorphism category S n (X) of X consists of all the objects (X i, φ i) …
Homotopy equivalences induced by balanced pairs
XW Chen - Journal of Algebra, 2010 - Elsevier
We introduce the notion of balanced pair of additive subcategories in an abelian category.
We give sufficient conditions under which a balanced pair of subcategories gives rise to a …
We give sufficient conditions under which a balanced pair of subcategories gives rise to a …
The tensor product of Gorenstein-projective modules over category algebras
R Wang - Communications in Algebra, 2018 - Taylor & Francis
Full article: The tensor product of Gorenstein-projective modules over category algebras Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …