fpn-injective and fpn-flat modules
J Wei, Y Zhang - Georgian Mathematical Journal, 2015 - degruyter.com
In this paper, we introduce the notion of fpn-injective and fpn-flat modules, and investigate
their properties. In particular, we prove that every left R-module has an fpn-injective cover …
their properties. In particular, we prove that every left R-module has an fpn-injective cover …
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 …
n-Flat and n-FP-injective modules
X Yang, Z Liu - Czechoslovak mathematical journal, 2011 - Springer
n-FLAT AND n-FP-INJECTIVE MODULES 1. Introduction We use R-Mod (resp., Mod-R) to
denote the category of all left (resp., right) Page 1 Czechoslovak Mathematical Journal, 61 (136) …
denote the category of all left (resp., right) Page 1 Czechoslovak Mathematical Journal, 61 (136) …
C-fpn-Injective and C-fpn-Flat modules under Foxby equivalence
Let S and R be rings, SCR a (faithfully) semidualizing bi-module, and n 1 a natural number.
In this paper, we introduce the concepts of C-fpn-injective and C-fpn-at modules. Then we …
In this paper, we introduce the concepts of C-fpn-injective and C-fpn-at modules. Then we …
Strongly FP-injective modules
W Li, J Guan, B Ouyang - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A module M is called strongly FP-injective if Ext i (P, M)= 0 for any finitely
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …
[PDF][PDF] Notes on FP-projective modules and FP-injective modules
L Mao, N Ding - Advances in ring theory, 2005 - maths.nju.edu.cn
NOTES ON FP-PROJECTIVE MODULES AND FP-INJECTIVE MODULES 1. Introduction
Throughout this paper, all rings are associative with id Page 1 February 17, 2006 17:49 …
Throughout this paper, all rings are associative with id Page 1 February 17, 2006 17:49 …
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 …
Existence of Covers and Envelopes of a Left Orthogonal Class and Its Right Orthogonal Class of Modules
A Umamaheswaran, R Udhayakumar… - Journal of …, 2022 - Wiley Online Library
In this paper, we investigate the notions of X⊥‐projective, X‐injective, and X‐flat modules
and give some characterizations of these modules, where X is a class of left modules. We …
and give some characterizations of these modules, where X is a class of left modules. We …
C-PURE SUBMODULES AND C-FLAT MODULES
Y ALAGÖZ - Journal of Universal Mathematics, 2021 - dergipark.org.tr
Let R be a ring. A right R-module A is said to be C-flat if the kernel of any epimorphism B→ A
is C-pure in B, ie the induced map Hom (C, B)→ Hom (C, A) is surjective for any cyclic right …
is C-pure in B, ie the induced map Hom (C, B)→ Hom (C, A) is surjective for any cyclic right …
FPn-Injective, FPn-Flat Covers and Preenvelopes, and Gorenstein AC-Flat Covers
D Bravo, S Estrada, A Iacob - Algebra Colloquium, 2018 - World Scientific
We prove that, for any n≥ 2, the classes of FP n-injective modules and of FP n-flat modules
are both covering and preenveloping over any ring R. This includes the case of FP∞ …
are both covering and preenveloping over any ring R. This includes the case of FP∞ …