Results 31 to 40 of about 713 (119)

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

Arab 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

AKCE 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

S-J-Ideals: A Study in Commutative and Noncommutative Rings

Journal of Mathematics
In this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their ...
Alaa Abouhalaka, Hatice Çay, Bayram Ali Ersoy   +2 more
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On Centrally Semiprime Rings and Centrally Semiprime [PDF]

Kirkuk 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, Abdulrahman Hamed Majeed   +1 more
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n-absorbing I-primary ideals in commutative rings

Tikrit Journal of Pure Science, 2023
We define a new generalization of n-absorbing ideals in commutative rings called n-absorbing I-primary ideals. We investigate some characterizations and properties of such new generalization. If P is an n-absorbing I-primary ideal of R and √IP=I√P, then
Sarbast A. Anjuman, Ismael Akray
doaj   +1 more source

Ring Extensions with Finitely Many Non-Artinian Intermediate Rings

Journal of Mathematics, 2020
The commutative ring extensions with exactly two non-Artinian intermediate rings are characterized. An initial step involves the description of the commutative ring extensions with only one non-Artinian intermediate ring.
Noômen Jarboui, Naseam Al-Kuleab, Omar Almallah   +2 more
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Some Examples of BL-Algebras Using Commutative Rings

Mathematics, 2022
BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case.
Cristina Flaut, Dana Piciu
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Quasi-Regular Graphs Associated with Commutative Rings

Journal of Mathematics, 2022
One of the most important branches of mathematics is algebraic graph theory, which solves graph problems with algebraic methods. In graph theory, several algebraic properties of a ring can be represented.
Nasr Zeyada, Najat Muthana, Sultanah Al-Rashidi   +2 more
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Subrings of I-rings and S-rings

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
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Upper dimension and bases of zero-divisor graphs of commutative rings

AKCE International Journal of Graphs and Combinatorics, 2020
For a commutative ring with non-zero zero divisor set , the zero divisor graph of is with vertex set , where two distinct vertices and are adjacent if and only if .
S. Pirzada, M. Aijaz, S.P. Redmond
doaj   +1 more source