Some precovers and preenvelopes in functor categories
Z Xie, Z Liu - Indian Journal of Pure and Applied Mathematics, 2021 - Springer
Let n≥ 1 be an integer. A functor F∈(mod-R, Ab) is called n-strongly FP-injective if F is
isomorphic to some functor-⊗ M in (mod-R, Ab) with M an FP n-injective left R-module. A …
isomorphic to some functor-⊗ M in (mod-R, Ab) with M an FP n-injective left R-module. A …
On covers and envelopes in some functor categories
L Mao - Communications in Algebra, 2013 - Taylor & Francis
We study the existence of covers and envelopes by some special functors on the category of
finitely presented modules. As an application, we characterize some important rings using …
finitely presented modules. As an application, we characterize some important rings using …
Flat Weakly FP-Injective and FP-Injective Weakly Flat Functors
S Crivei - Results in Mathematics, 2017 - Springer
We introduce weakly FP-injective and weakly flat functors, and we show that a right R-
module K is FP-injective if and only if (−, K) is a flat weakly FP-injective functor in ((\rm mod …
module K is FP-injective if and only if (−, K) is a flat weakly FP-injective functor in ((\rm mod …
Notes on several orthogonal classes of flat and FP-injective functors
L Mao - Mathematical Notes, 2014 - Springer
In this paper, we develop relative homological algebra in the category of functors from
finitely presented modules to Abelian groups. More specifically, we introduce the concepts of …
finitely presented modules to Abelian groups. More specifically, we introduce the concepts of …
-Copartial Morphisms
B Kalebogaz - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
In this paper, first we give the definition of F-copartial morphisms with an additive exact
substructure F of an exact structure E in an additive category A. Then, we study many …
substructure F of an exact structure E in an additive category A. Then, we study many …
[引用][C] Flatness and absolute purity applying functor categories to ring theory
H Bernecker - Journal of Algebra, 1977 - Elsevier
Let R be a ring with 1# 0. R-Mod (resp. Mod-R} denotes the category of left (resp. rrght) R-
modules. Throughout the entrre article full subcategories of R-Mod (resp. Mod-R) will be …
modules. Throughout the entrre article full subcategories of R-Mod (resp. Mod-R) will be …
(m, n)-injective and (m, n)-flat functors
ZHU Jun, Z Ren-yu - Journal of Lanzhou University of Technology, 2024 - journal.lut.edu.cn
Let R be an associative ring with identity, m and n be fixed positive integers. The notions of
(m, n)-injective functors and (m, n)-flat functors are introduced. Some properties of these two …
(m, n)-injective functors and (m, n)-flat functors are introduced. Some properties of these two …
FP-injective objects in the category of N-complexes
B Lu - Indian Journal of Pure and Applied Mathematics, 2024 - Springer
We show that an N-complex of modules C is FP-injective if and only if C is N-exact and Z ni
(C) is an FP-injective module for each i= 1, 2,⋯, N and each n∈ Z by virtue of Gaussian …
(C) is an FP-injective module for each i= 1, 2,⋯, N and each n∈ Z by virtue of Gaussian …
[PDF][PDF] Quasi-Frobenius functor with applications to corings
FC Iglesias, C Nastasescu - preprint (available at: http://arXiv. org/-arXiv …, 2006 - Citeseer
Müller generalized in [12] the notion of a Frobenius extension to left (right) quasi-Frobenius
extension and proved the endomorphism ring theorem for these extensions. Recently, Guo …
extension and proved the endomorphism ring theorem for these extensions. Recently, Guo …
Functorial finite subcategories over triangular matrix rings
SO Smalø - Proceedings of the American Mathematical Society, 1991 - ams.org
Let $\Lambda $ and $\Gamma $ be Artin algebras, $ M $ a $\Gamma-\Lambda $-bimodule,
and $ R $ the triangular matrix ring of $\Lambda,\Gamma $, and $ M $; assume that $ R $ is …
and $ R $ the triangular matrix ring of $\Lambda,\Gamma $, and $ M $; assume that $ R $ is …