Results 21 to 30 of about 713 (119)

Continuous functions with compact support

Applied General Topology, 2004
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya, K.C. Chattopadhyaya, Partha Pratim Ghosh   +2 more
doaj   +1 more source

On the Commutative Rings with At Most Two Proper Subrings

International Journal of Mathematics and Mathematical Sciences, 2016
The commutative rings with exactly two proper (unital) subrings are characterized. An initial step involves the description of the commutative rings having only one proper subring.
David E. Dobbs
doaj   +1 more source

On the Genus of the Co-Annihilating Graph of Commutative Rings

Discussiones Mathematicae - General Algebra and Applications, 2019
Let R be a commutative ring with identity and 𝒰R be the set of all nonzero non-units of R. The co-annihilating graph of R, denoted by 𝒞𝒜R, is a graph with vertex set 𝒰R and two vertices x and y are adjacent whenever ann(x) ∩ ann(y) = (0).
Selvakumar K., Karthik S.
doaj   +1 more source

Semi r-ideals of commutative rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals.
Khashan Hani A., Celikel Ece Yetkin
doaj   +1 more source

Determinants of some special matrices over commutative finite chain rings

Special Matrices, 2020
Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
doaj   +1 more source

Commutativity theorems for rings and groups with constraints on commutators

International Journal of Mathematics and Mathematical Sciences, 1984
Let n>1, m, t, s be any positive integers, and let R be an associative ring with identity. Suppose xt[xn,y]=[x,ym]ys for all x, y in R. If, further, R is n-torsion free, then R is commutativite.
Evagelos Psomopoulos
doaj   +1 more source

Commutativity and structure of rings with commuting nilpotents

International Journal of Mathematics and Mathematical Sciences, 1983
Let R be a ring and let N denote the set of nilpotent elements of R. Let Z denote the center of R. Suppose that (i) N is commutative, (ii) for every x in R there exists x′ϵ such that x−x2x′ϵN, where denotes the subring generated by x, (iii) for every x ...
Hazar Abu-Khuzam, Adil Yaqub
doaj   +1 more source

An iteration technique and commutativity of rings

International Journal of Mathematics and Mathematical Sciences, 1990
Through much shorter proofs, some new commutativity theorems for rings with unity have been obtained. These results either extend or generalize a few well-known theorems. Our method of proof is based on an iteration technique.
H. A. S. Abujabal, M. S. Khan
doaj   +1 more source

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

Al-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

Prime ideal graphs of commutative rings

Indonesian 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