Results 1 to 10 of about 2,734 (163)

Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2008
We first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R.
E. Hashemi
doaj   +3 more sources

On Graded 2-Prime Ideals

Mathematics, 2021
The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring

Fuzzy Information and Engineering, 2023
In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring.
Anand Swaroop Prajapati, Naseem Ajmal, Iffat Jahan   +2 more
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Graded 1-Absorbing Prime Ideals over Non-Commutative Graded Rings

Axioms
In this article, we define and study graded 1-absorbing prime ideals and graded weakly 1-absorbing prime ideals in non-commutative graded rings as a new class of graded ideals that lies between graded prime ideals (graded weakly prime ideals) and graded ...
Azzh Saad Alshehry, Rashid Abu-Dawwas, Rahaf Abudalo   +2 more
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A note On 2-prime ideals [PDF]

Journal of Mahani Mathematical Research
Let $R$ be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Pr\"{u}fer domain. We prove that a nonzero ideal $I$ of a Dedekind domain $R$ is 2-prime if and only if $I=P^{\alpha}$, for some maximal ideal $
Somayeh Hadjirezaei, Vajihe Sharifi
doaj   +3 more sources

New Type of Soft (Prime) Ideals in Commutative BCK-Algebras [PDF]

Jisuanji kexue yu tansuo, 2022
The soft set theory is an important mathematical tool for dealing with uncertainty. By endowing a par-ameter set as a commutative BCK-algebra (that is commutative weak-BCI-algebra), the notions of a new type of soft prime ideals, annihilators of soft ...
HUANG Yu, LIAO Zuhua
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Prime Ideals of Transitive BE-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2022
The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras.
Prabhakar M. Bala, Vali S. Kalesha, Rao M. Sambasiva   +2 more
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Intuitionistic fuzzy weakly prime ideals [PDF]

Journal of Hyperstructures, 2017
In this study, the fundamental definitions and theorems regarding intuitionistic fuzzy sets and intuitionistic fuzzy ideals of commutative ring R with identity have been given as preliminaries.
Tu˘gba Arkan, Serkan Onar, Deniz S¨onmez, Bayram Ersoy   +3 more
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On fuzzy quasi-prime ideals in near left almost rings [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2019
In this investigation we studied fuzzy quasi-prime, weakly fuzzy quasi-prime, fuzzy completely prime and weakly fuzzy completely prime ideals in nLA-rings.
Pairote Yiarayong
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Quotient rings satisfying some identities

Cubo, 2023
This paper investigates the commutativity of the quotient ring \(\mathcal{R}/P\), where \(\mathcal{R}\) is an associative ring with a prime ideal \(P\), and the possibility of forms of derivations satisfying certain algebraic identities on \(\mathcal{R}\)
Mohammadi El Hamdaoui, Abdelkarim Boua
doaj   +1 more source