[PDF][PDF] ADJOINT PREENVELOPES AND ADJOINT PRECOVERS IN THE FUNCTOR CATEGORY
S GUO, X YANG - imar.ro
Given a ring R, the categories of covariant additive functors (mod-R, Ab) and contravariant
additive functors ((mod-R) op, Ab) from the category mod-R of finitely presented right R …
additive functors ((mod-R) op, Ab) from the category mod-R of finitely presented right R …
Strongly FP-injective and strongly flat functors
L Mao - Rendiconti del Seminario Matematico della Università …, 2016 - numdam.org
Given a ring R, denote by mod-R the category of nitely presented right R-modules, the two
functor categories (mod-R, Ab) and ((mod-R) op, Ab) with values in the category Ab of …
functor categories (mod-R, Ab) and ((mod-R) op, Ab) with values in the category Ab of …
[引用][C] On equivalences between module subcategories
M Sato - Journal of Algebra, 1979 - Elsevier
Let A and B be associative rings with unit, Mod-A and Mod-B categories of unital right A-
modules and unital right B-modules respectively. For an AB-bimodule* UB, we consider two …
modules and unital right B-modules respectively. For an AB-bimodule* UB, we consider two …
Abelian right perpendicular subcategories in module categories
L Positselski - arXiv preprint arXiv:1705.04960, 2017 - arxiv.org
We show that an abelian category can be exactly, fully faithfully embedded into a module
category as the right perpendicular subcategory to a set of modules or module morphisms if …
category as the right perpendicular subcategory to a set of modules or module morphisms if …
Auslander's formula for contravariantly finite subcategories
J Asadollahi, R Hafezi, MH Keshavarz - Journal of the Mathematical …, 2021 - jstage.jst.go.jp
Let A be a right coherent ring and X be a contravariantly finite subcategory of mod-A
containing projectives. In this paper, we construct a recollement of abelian categories (mod0 …
containing projectives. In this paper, we construct a recollement of abelian categories (mod0 …
[HTML][HTML] A generalization of the Gabriel–Popescu theorem
W Lowen - Journal of Pure and Applied Algebra, 2004 - Elsevier
In this paper we give necessary and sufficient conditions for an additive functor u: u→ C,
from a small pre-additive category u to a Grothendieck category C, to realize C as a …
from a small pre-additive category u to a Grothendieck category C, to realize C as a …
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 …
[HTML][HTML] The Auslander–Gruson–Jensen recollement
S Dean, J Russell - Journal of Algebra, 2018 - Elsevier
For any ring R, the Auslander–Gruson–Jensen functor DA: fp (R-Mod, Ab)→(mod-R, Ab) op
is the exact functor which sends a representable functor (X,−) to the tensor functor−⊗ X. We …
is the exact functor which sends a representable functor (X,−) to the tensor functor−⊗ X. We …
[PDF][PDF] The category of s-unital modules
H Komatsu - Mathematical Journal of Okayama University, 1986 - ousar.lib.okayama-u.ac.jp
The category of unital modules over a ring with identity element is characterized as a
cocomplete abelian category with a progenerator. More generally, every cocomplete abelian …
cocomplete abelian category with a progenerator. More generally, every cocomplete abelian …
On adjunction contexts and regular quasi-monads
R Wisbauer - Journal of Mathematical Sciences, 2012 - Springer
The unit element of a ring A plays an important part in classical module theory. Its existence
is equivalent to the adjointness of the free functor from the base category of abelian groups …
is equivalent to the adjointness of the free functor from the base category of abelian groups …