On some injective modules in σ [M]

AC Ozcan, DK Tütüncü, M Yousif - Modules and comodules …, 2008 - books.google.com
In this paper, we study the notions (strongly) soc-injective,(strongly) simple-injective and
(strongly) mininjective modules in σ [M]. For any module N in σ [M], N is strongly mininjective …

Injective envelopes and (Gorenstein) flat covers

EE Enochs, Z Huang - Algebras and representation theory, 2012 - Springer
We characterize left Noetherian rings in terms of the duality property of injective
preenvelopes and flat precovers. For a left and right Noetherian ring R, we prove that the flat …

Weak dimension of FP-injective modules over chain rings

F Couchot - Communications in Algebra, 2016 - Taylor & Francis
It is proven that the weak dimension of each FP-injective module over a chain ring which is
either Archimedean or not semicoherent is less or equal to 2. This implies that the projective …

Homological properties of modules with finite weak injective and weak flat dimensions

T Zhao - Bulletin of the Malaysian Mathematical Sciences …, 2018 - Springer
In this paper, we define a class of relative derived functors in terms of left or right weak flat
resolutions to compute the weak flat dimension of modules. Moreover, we investigate two …

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 …

Gorenstein right derived functors of−⊗− with respect to semidualizing modules

J Hu, D Zhang, N Ding - Communications in Algebra, 2014 - Taylor & Francis
Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Some Properties of n-semidualizing Modules

T Se - Acta Mathematica Vietnamica, 2023 - Springer
Let R be a commutative noetherian ring. The n-semidualizing modules of R are
generalizations of its semidualizing modules. We will prove some basic properties of n …

On --Flat modules and Their Homological Dimensions

X Zhang, W Zhao - arXiv preprint arXiv:2107.12643, 2021 - arxiv.org
In this paper, we introduce and study the class of $\phi $-$ w $-flat modules which are
generalizations of both $\phi $-flat modules and $ w $-flat modules. The $\phi $-$ w $-weak …

On f-injective modules

M Zayed - Archiv der Mathematik, 2002 - Springer
In this paper, the notions of f-injective and f*-injective modules are introduced. Elementary
properties of these modules are given. For instance, a ring R is coherent iff any ultraproduct …

Relative subcopure-injective modules

Y ALAGÖZ - Communications Faculty of Sciences University of …, 2020 - dergipark.org.tr
In this paper, copure-injective modules is examined from an alternative perspective. For two
modules A and B, A is called B-subcopure-injective if for every copure monomorphism f: B→ …