Results 171 to 180 of about 87,285 (205)

IDEALS IN COMMUTATIVE RINGS

Mathematics of the USSR-Sbornik, 1976
This paper deals with one-dimensional (commutative) rings without nilpotent elements such that every ideal is generated by three elements. It is shown that in such rings the square of every ideal is invertible, i.e. divides its multiplier ring. In addition, every ideal is distinguished, in the sense that on localization at any maximal ideal it becomes ...
openaire   +2 more sources

ARTINIAN-FINITARY GROUPS OVER COMMUTATIVE RINGS AND NON-COMMUTATIVE RINGS

Journal of the London Mathematical Society, 2004
Summary: Let \(M\) be a module over the ring \(R\). Extensive use is made of Krull codimension to study further the Artinian-finitary automorphism group \[ F_1\Aut_RM=\{g\in\Aut_RM:M(g-1)\text{ is }R\text{-Artinian}\} \] of \(M\) over \(R\). Substantial progress is made where either \(M\) is residually Noetherian or \(R\) is commutative. There are some
openaire   +2 more sources

Commutative Rings.

The American Mathematical Monthly, 1972
R. A. Smith, Irving Kaplansky
openaire   +1 more source

Injective quotient rings of commutative rings

1979
INTRODUCTION In the broadest sense, this is a study of commutative rings which satisfy the (finitely) pseudo-Froben[us (or (F)PF) condition: All (finitely generated) faithful modules generate the category mod-R of all R-modules. These rings include: Pr[[fer rings, almost maximal valuation rings, self-injective rings, e.g.
openaire   +1 more source

On the eigenvalues of zero-divisor graph associated to finite commutative ring

AKCE International Journal of Graphs and Combinatorics, 2021
Shariefuddin Pirzada
exaly  

Graph energy and topological descriptors of zero divisor graph associated with commutative ring

Journal of Applied Mathematics and Computing, 2023
CLEMENT JOHNSON RAYER, Ravi Sankar J
exaly  

Commutative rings III

2010
openaire   +1 more source

COMMUTATIVE RINGS

Bulletin of the London Mathematical Society, 1971
openaire   +1 more source

The total graph of a commutative ring

Journal of Algebra, 2008
Ayman Badawi
exaly  

On the Genus of the Total Graph of a Commutative Ring

Communications in Algebra, 2013
Tamizh Chelvam T, T Asir
exaly