On --flat modules and -von Neumann regular rings
N Mahdou, EH Oubouhou - Journal of Algebra and Its Applications, 2024 - World Scientific
Let R be a commutative ring with a nonzero identity and M an R-module. Set ϕ-tor (M)={x∈
M| sx= 0 for some s∈ R\Nil (R)}, if ϕ-tor (M)= M then M is called a ϕ-torsion module. An R …
M| sx= 0 for some s∈ R\Nil (R)}, if ϕ-tor (M)= M then M is called a ϕ-torsion module. An R …
[PDF][PDF] On φ-von Neumann regular rings
W Zhao, F Wang, G Tang - Journal of the Korean Mathematical …, 2013 - researchgate.net
ON φ-VON NEUMANN REGULAR RINGS 1. Introduction Let R be a commutative ring with 1 =
0 and Nil(R) be its set of nilpotent elemen Page 1 J. Korean Math. Soc. 50 (2013), No. 1, pp …
0 and Nil(R) be its set of nilpotent elemen Page 1 J. Korean Math. Soc. 50 (2013), No. 1, pp …
On φ-flat modules and φ-Prüfer rings
W Zhao - Journal of the Korean Mathematical Society, 2018 - koreascience.kr
Let R be a commutative ring with non-zero identity and let NN (R)={I| I is a nonnil ideal of R}.
Let M be an R-module and let ${\phi}-tor (M)=\{x {\in} M {\mid} Ix= 0\text {for some} I {\in} NN …
Let M be an R-module and let ${\phi}-tor (M)=\{x {\in} M {\mid} Ix= 0\text {for some} I {\in} NN …
On φ-u-S-flat modules and nonnil-u-S-injective modules
H Kim, N Mahdou, EH Oubouhou - Georgian Mathematical Journal, 2024 - degruyter.com
This paper introduces and studies the ϕ-uS-flat (resp., nonnil-uS-injective) modules, which
are a generalization of both ϕ-flat modules and uS-flat modules (resp., both nonnil-injective …
are a generalization of both ϕ-flat modules and uS-flat modules (resp., both nonnil-injective …
A new version of P-flat modules and its applications
W Qi, X Zhang - arXiv preprint arXiv:2407.17865, 2024 - arxiv.org
In this paper, we introduce and study the class of $\phi $-$ w $-P-flat modules, which can be
seen as generalizations of both $\phi $-P-flat modules and $ w $-P-flat modules. In …
seen as generalizations of both $\phi $-P-flat modules and $ w $-P-flat modules. In …
On w-FI-flat and w-FI-injective modules
FAA Almahdi, EM Bouba, M Tamekkante - ANNALI DELL'UNIVERSITA'DI …, 2022 - Springer
In this paper, we generalize, with respect to the w-operation, the notions of FI-injective and FI-
flat modules introduced by L. Mao and N. Ding. Let R be a ring. An R-module M is called w …
flat modules introduced by L. Mao and N. Ding. Let R be a ring. An R-module M is called w …
Resolutions and dimensions of relative injective modules and relative flat modules
Y Zeng, J Chen - 대한수학회보, 2013 - dbpia.co.kr
Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if Ext1 (P, M)= 0 for any (m, n)-presented right R-module P; M is said to be (m, n) …
n)-injective if Ext1 (P, M)= 0 for any (m, n)-presented right R-module P; M is said to be (m, n) …
When every S-flat module is (flat) projective
Let R be a commutative ring with identity and S a multiplicative subset of R. The aim of this
paper is to study the class of commutative rings in which every S-flat module is flat (resp …
paper is to study the class of commutative rings in which every S-flat module is flat (resp …
IFP-Flat Modules and IFP-Injective Modules
L Bo, L Zhongkui - Communications in Algebra, 2012 - Taylor & Francis
In this article, we introduce the concept of IFP-flat (resp., IFP-injective) modules as nontrivial
generalization of flat (resp., injective) modules. We investigate the properties of these …
generalization of flat (resp., injective) modules. We investigate the properties of these …
Remarks on fp-Injective and fp-Flat Modules
L Mao - Arabian Journal for Science and Engineering, 2011 - Springer
Abstract A left R-module M is said to be fp-injective if, for every monomorphism K→ L with K
and L finitely presented left R-modules, Hom (L, M)→ Hom (K, M) is an epimorphism. A right …
and L finitely presented left R-modules, Hom (L, M)→ Hom (K, M) is an epimorphism. A right …