Semiartinian V-rings and semiartinian von Neumann regular rings

G Baccella - Journal of Algebra, 1995 - Elsevier
Semiartinian right V-rings, which we call right SV-rings, form a special class of Von
Neumann regular rings. We characterize these rings by the fact that every factor ring imbeds …

von Neumann regularity of 𝑉-rings with Artinian primitive factor rings

G Baccella - Proceedings of the American Mathematical Society, 1988 - ams.org
VON NEUMANN REGULARITY OF V-RINGS WITH ARTINIAN PRIMITIVE FACTOR RINGS
Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 103 …

[引用][C] On V-rings and prime rings

RYC Ming - Journal of algebra, 1980 - Elsevier
In this note, we find similar characteristic properties in terms of certain intersections of
maximal left ideals for the following classes of rings:(1) Left V-rings;(2) Left fV-rings;(3) Left …

[HTML][HTML] Rings with each right ideal automorphism-invariant

MT Koşan, TC Quynh, AK Srivastava - Journal of Pure and Applied Algebra, 2016 - Elsevier
In this paper, we study rings having the property that every right ideal is automorphism-
invariant. Such rings are called right a-rings. It is shown that (1) a right a-ring is a direct sum …

Generalized V-rings

VS Ramamurthi, KM Rangaswamy - Mathematica Scandinavica, 1972 - JSTOR
Kaplansky [11] noticed that a commutative ring is (von Neumann) regular if and only if it is a
V-ring, that is, each simple module over the ring is injective. However in the general case …

Rings all of whose finitely generated ideals are automorphism-invariant

TC Quynh, AN Abyzov, DT Trang - Journal of Algebra and Its …, 2022 - World Scientific
Rings in which each finitely generated right ideal is automorphism-invariant (right fa-rings)
are shown to be isomorphic to a formal matrix ring. Among other results it is also shown that …

On semi-artinian V-modules

NV Dung, PF Smith - Journal of pure and applied algebra, 1992 - Elsevier
On semi-artinian V-modules Page 1 Journal of Pure and Applied Algebra 82 (lYY2) 27-37
North-Holland 27 On semi-artinian V-modules Nguyen V. Dung Departamento de Mutematicas …

Rings whose quasi-injective modules are injective

KA Byrd - Proceedings of the American Mathematical Society, 1972 - ams.org
A ring R is called a V-ring, respectively SSI-ring, respectively QII-ring if simple, respectively
semisimple, respectively quasi-injective, right R-modules are injective. We show that R is …

On the existence of maximal subrings in commutative artinian rings

A Azarang, OAS Karamzadeh - Journal of Algebra and its …, 2010 - World Scientific
We determine entirely which Artinian rings have maximal subring. In particular, we show that
an Artinian ring without maximal subring is integral over some finite subring and in particular …

[PDF][PDF] Left generalized uniserial rings

G Ivanov - Journal of Algebra, 1974 - core.ac.uk
Generalized uniserial rings were introduced by Nakayama [9, IO] who showed that their
modules are direct sums of uniserial submodules each of which is a homomorphic image of …