Category of n-weak injective and n-weak flat modules with respect to special super presented modules
Let R be a ring and n, k two non-negative integers. In this paper, we introduce the concepts
of n-weak injective and n-weak flat modules and via the notion of special super finitely …
of n-weak injective and n-weak flat modules and via the notion of special super finitely …
On rings whose cyclic faithful modules are generators
H Yoshimura - 1995 - projecteuclid.org
For each positive integer n, we temporarily say that a ring R is n-PF (^-pseudo-Frobenius) if
every faithful right i?-module generated by at most n elements is a generator for the category …
every faithful right i?-module generated by at most n elements is a generator for the category …
Phantom Envelopes and -Phantom Covers of Modules
L Mao - Bulletin of the Iranian Mathematical Society, 2020 - Springer
We first prove that if a monomorphism is a phantom envelope of a left R-module, then its
cokernel is pure-projective; if R is a left coherent ring and an epimorphism is an Ext Ext …
cokernel is pure-projective; if R is a left coherent ring and an epimorphism is an Ext Ext …
RD-flatness and RD-injectivity of simple modules
A Moradzadeh-Dehkordi, F Couchot - Journal of Pure and Applied Algebra, 2022 - Elsevier
We say that a ring R is a right RDV-ring if each simple right R-module is RD-injective. In this
paper, we study the notion of RDV-rings which is a non-trivial generalization of V-rings and …
paper, we study the notion of RDV-rings which is a non-trivial generalization of V-rings and …
Dual modules, f-projective modules and Π-coherence over trivial ring extensions
L Mao - Communications in Algebra, 2024 - Taylor & Francis
Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M. We first describe
explicitly the structure of a dual module over R⋉ M. Then we characterize Mittag-Leffler …
explicitly the structure of a dual module over R⋉ M. Then we characterize Mittag-Leffler …
On 𝒯-noncosingular modules
DK Tütüncü, R Tribak - Bulletin of the Australian Mathematical …, 2009 - cambridge.org
In this paper we introduce 𝒯-noncosingular modules. Rings for which all right modules are𝒯-
noncosingular are shown to be precisely those for which every simple right module is …
noncosingular are shown to be precisely those for which every simple right module is …
Min-flat modules and min-coherent rings
L Mao - Communications in Algebra®, 2007 - Taylor & Francis
Let R be a ring. A left R-module M is said to be min-injective if for any simple left ideal I. A
right R-module N is called min-flat if for any simple left ideal I. R is said to be a left min …
right R-module N is called min-flat if for any simple left ideal I. R is said to be a left min …
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 …
properties of these modules are given. For instance, a ring R is coherent iff any ultraproduct …
Complexes of FP-injective modules
Y Geng - Algebra Colloquium, 2010 - World Scientific
In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …
Coherent rings with finite self-FP-injective dimension
N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …