Results 1 to 10 of about 91,509 (288)

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

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
doaj   +2 more sources

NeutroAlgebra of Idempotents in Group Rings [PDF]

Neutrosophic Sets and Systems, 2022
In this paper, the authors study the new concept of NeutroAlgebra of idempotents in group rings. It is assumed that RG is the group ring of a group G over the ring R. R should be a commutative ring with unit 1.
Vasantha Kandasamy, Ilanthenral Kandasamy   +1 more
doaj   +1 more source

Enumeration of Neutrosophic Involutions over Finite Commutative Neutrosophic Rings [PDF]

Neutrosophic Sets and Systems, 2023
A finite commutative ring involution is the multiplicative inverse of the element attribute R is the element itself. This classical characteristic of a finite commutative ring makes Neutrosophic involutions possible, which are counted, listed and ...
T. Chalapathi, K. Kumaraswamy Naidu , D. Harish Babu   +2 more
doaj   +1 more source

Commutative Medial Near Ring

Ratio Mathematica, 2023
We deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with.
Dhivya C, Radha D
doaj   +1 more source

Classification of chain rings

AIMS Mathematics, 2022
An associative Artinian ring with an identity is a chain ring if its lattice of left (right) ideals forms a unique chain. In this article, we first prove that for every chain ring, there exists a certain finite commutative chain subring which ...
Yousef Alkhamees, Sami Alabiad
doaj   +1 more source

The -annihilating-ideal hypergraph of commutative ring

AKCE International Journal of Graphs and Combinatorics, 2019
The concept of the annihilating-ideal graph of a commutative ring was introduced by Behboodi et. al in 2011. In this paper, we extend this concept to the hypergraph for which we define an algebraic structure called -annihilating-ideal of a commutative ...
K. Selvakumar, V. Ramanathan
doaj   +2 more sources

Generalized Commutative Rings [PDF]

Nagoya Mathematical Journal, 1966
Among his various interests in algebra Nakayama also took part in the various researches, published in the early and middle 1950’s, which dealt with the commutativity of rings. This paper, which studies a problem of a related sort, thus seems appropriate in a Journal honoring his memory.We shall study a certain class of rings which satisfy a weak form ...
Belluce, L. P., Herstein, I. N., Jain, S. K.   +2 more
openaire   +3 more sources

ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS [PDF]

Journal of Algebraic Systems, 2019
Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$
M. Rezagholibeigi, A. R. Naghipour
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
doaj   +1 more source

PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS

Barekeng, 2023
Let  be a commutative ring with identity. Two elements   and b in   are called to be associates if  and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
doaj   +1 more source