Results 51 to 60 of about 335,227 (157)

Commutative rings with ideal based zero divisor graph of orders 12,13 and 14 [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics
An recent years, several studies have emerged on the graphs for commutative rings. Researchers have investigated ideal based zero-divisor graphs linked to commutative rings, delving into the characteristics of these graphs.
Raad Shukur, Husam Mohammad
doaj   +1 more source

Some results on the total zero-divisor graph of a commutative ring [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
doaj   +1 more source

A note on comaximal ideal graph of commutative rings

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
Let be a commutative ring with identity. The comaximal ideal graph of is a simple graph with its vertices are the proper ideals of R which are not contained in the Jacobson radical of , and two vertices and are adjacent if and only if .
S. Kavitha, R. Kala
doaj   +1 more source

Prime ideal graphs of commutative rings

open access: yesIndonesian Journal of Combinatorics, 2022
Let R be a finite commutative ring with identity and P be a prime ideal of R. The vertex set is R - {0} and two distinct vertices are adjacent if their product in P. This graph is called the prime ideal graph of R and denoted by ΓP.
Haval Mohammed Salih, Asaad A. Jund
doaj   +1 more source

Fitting ideals and module structure [PDF]

open access: yes, 2002
Let R be a commutative ring with a 1. Original work by H. Fitting showed how we can associate to each finitely generated E-module a unique sequence of R-ideals, which are known as Fitting Ideals. The aim of this thesis is to undertake an investigation of
Grime, Peter John
core  

On the Relative K(2) of Non Commutative Local Rings. [PDF]

open access: yes, 1988
This dissertation examines topics in Algebraic K-Theory, concerning the computation of absolute and relative Milnor groups, K$\sb2$(R) and K$\sb2$(R,I), for both commutative and non-commutative classes of rings, including the relative K$\sb2$ of non ...
Russell, Robert B   +2 more
core   +1 more source

Commutative graded-$S$-coherent rings [PDF]

open access: yes, 2023
summary:Recently, motivated by Anderson, Dumitrescu's $S$-finiteness, D. Bennis, M. El Hajoui (2018) introduced the notion of $S$-coherent rings, which is the $S$-version of coherent rings.
Koç, Suat   +3 more
core   +1 more source

Automorphisms of commutative rings [PDF]

open access: yesTransactions of the American Mathematical Society, 1975
Let B B be a commutative ring with 1, let
openaire   +1 more source

On commutative idempotent rings

open access: yes, 1995
We study the problem when a ring which is an extension of a commutative idempotent ring by a commutative idempotent ring is commutative. In particular, we answer Sands' question showing that the class of commutative idempotent rings whose every ...
E. R. Puczyłowski, R. R. Andruszkiewicz
core   +1 more source

On Centrally Semiprime Rings and Centrally Semiprime [PDF]

open access: yesKirkuk Journal of Science, 2008
In this paper, two new algebraic structures are introduced which we call a centrally semiprime ring and a centrally semiprime right near-ring, and we look for those conditions which make centrally semiprime rings as commutative rings, so that several ...
Adil Kadir Jabbar   +1 more
doaj   +1 more source

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