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 …

[PDF][PDF] On -rings and unit-regular rings

R Yue Chi Ming - … del Seminario Matematico della Università di …, 1981 - numdam.org
Rings whose simple right modules are injective, called right V-rings by C. Faith, are studied
in [11] and by many other authors (cf.[6]). A ring A is called unit-regular if, for each a EA …

[PDF][PDF] On almost J-injectivity and J-regularity of rings

RD Mahmood - Tikrit Journal of Pure Science, 2013 - iasj.net
X Ra alr⊕=)(. In this paper, we give some characterizations and properties of almost J-
injective rings and it is show that R is J-regular if and only if R is a right almost J-injective …

On rings with cyclic almost-injective modules

AN Abyzov, TC Quynh - Journal of Algebra and Its Applications, 2022 - World Scientific
It is shown that every finitely generated right R-module is almost injective if and only if every
cyclic right R-module is almost injective, if and only if R/J (R) is a right SV-ring with Loewy …

On regular rings and V-rings

R Yue Chi Ming - Monatshefte für Mathematik, 1979 - Springer
In this note, certain generalisations of strongly regular rings are considered in connection
with regular rings and V-rings. The result that strongly regular rings are left (and right) V …

Rings over which flat covers of finitely generated modules are projective

A Amini, M Ershad, H Sharif - Communications in Algebra, 2008 - Taylor & Francis
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 …

On strongly regular rings and generalizations of V-rings

T Subedi, AM Buhphang - International Electronic Journal of …, 2013 - dergipark.org.tr
ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V -RINGS Tikaram Subedi and
Ardeline Mary Buhphang 1. Introduction Throughout t Page 1 International Electronic Journal of …

Generalizations of V-rings

X Song, X Yin - Kyungpook Mathematical Journal, 2005 - koreascience.kr
In this paper, we introduce a new notion which we call a generalized weakly ideal. We also
investigate characterizations of strongly regular rings with the condition that every maximal …

[引用][C] On ℵ-injective regular rings

P Ara - Journal of Pure and Applied Algebra, 1986 - Elsevier
It is well-known that a right self-injective, left go-injective regular ring is directly finite, and
then unit-regular (cf.[2, Theorem 9.29].) Also, it is proved in [3, Theorem 1.8] that a right go …

On simple-injective modules

Y Alagöz, S Benli̇-Göral… - Journal of Algebra and its …, 2023 - World Scientific
For a right module M, we prove that M is simple-injective if and only if M is min-N-injective for
every cyclic right module N. The rings whose simple-injective right modules are injective are …