On rings with envelopes and covers regarding to , and flat modules
L Van Thuyet, P Dan, TC Quynh - Journal of Algebra and Its …, 2021 - World Scientific
In this paper, by taking the class of all C 3 (or D 3) right R-modules for general envelopes
and covers, we characterize a semisimple artinian ring (or a right perfect ring) via D 3-covers …
and covers, we characterize a semisimple artinian ring (or a right perfect ring) via D 3-covers …
Characterization of rings using finite-direct-injective modules
In this paper, we characterize strongly right C 2-rings in terms of finite-direct-injective
modules which is a generalization of direct-injective modules (or C 2-modules). Using this …
modules which is a generalization of direct-injective modules (or C 2-modules). Using this …
Semisimple-direct-injective modules
The notion of simple-direct-injective modules which are a generalization of injective
modules unifies $ C2 $ and $ C3 $-modules. In the present paper, we introduce the notion of …
modules unifies $ C2 $ and $ C3 $-modules. In the present paper, we introduce the notion of …
Envelopes, covers and semidualizing modules
L Mao - Journal of Algebra and Its Applications, 2019 - World Scientific
Given an R-module C and a class of R-modules 𝒟 over a commutative ring R, we investigate
the relationship between the existence of 𝒟-envelopes (respectively, 𝒟-covers) and the …
the relationship between the existence of 𝒟-envelopes (respectively, 𝒟-covers) and the …
A note on existence of envelopes and covers
J Chen, N Ding - Bulletin of the Australian Mathematical Society, 1996 - cambridge.org
We prove the following results for a ring R.(a) If C is a class of right R-modules closed under
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …
Rings over which flat covers of finitely generated modules are projective
In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …
article, we shall study rings over which flat covers of finitely generated modules are …
On some Artinian QF-3 rings
DV Huynh - Communications in Algebra, 2014 - Taylor & Francis
Carl Faith in 2003 introduced and investigated an interesting class of rings over which every
cyclic right module has Σ-injective injective hull (abbr., right CSI-rings). Inspired by this we …
cyclic right module has Σ-injective injective hull (abbr., right CSI-rings). Inspired by this we …
DG-projective, injective and flat complexes
X Yang, Z Liu - Algebra Colloquium, 2013 - World Scientific
In this article, we characterize some rings in terms of the DG-projective, injective and flat
complexes. We also give some connections between DG-injective complexes and DG-flat …
complexes. We also give some connections between DG-injective complexes and DG-flat …
Almost-perfect rings and modules
B Amini, A Amini, M Ershad - Communications in Algebra®, 2009 - Taylor & Francis
Following, a ring R is called right almost-perfect if every flat right R-module is projective
relative to R. In this article, we continue the study of these rings and will find some new …
relative to R. In this article, we continue the study of these rings and will find some new …
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 …