Results 11 to 20 of about 730,391 (289)
A prime ideal principle for two-sided ideals
Communications in Algebra, 2016 Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying a special property must be prime. We present a "Prime Ideal Principle" that gives a uniform method of proving such facts, generalizing the Prime Ideal ...
Reyes, Manuel L.
core +3 more sources
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 +3 more
doaj +6 more sources
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 +2 more
doaj +1 more source
Prime bi-interior ideals of Γ-semirings [PDF]
Journal of Hyperstructures, 2023 In this paper, we introduce the notion of prime bi-interior ideal, bi-interior ideal,strongly prime bi-interior ideal,semiprime strongly irreducible bi-interior ideal and irreducible bi-interior ideal.we study these ideals properties and relation between
Marapureddy Murali Krishna Rao
doaj +1 more source
Graded weakly 1-absorbing prime ideals
Cubo, 2022 In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let $G$ be a group and $R$ be a $G$-graded commutative ring with a nonzero identity $1\neq0$.
Ünsal Tekir +3 more
doaj +1 more source
Multiplication ideals in Γ-rings [PDF]
Journal of Hyperstructures, 2013 In this paper we introduce the notion of multiplication ideals in Γ-rings and we obtain some characterizations for multiplication ideals in Γ-rings.
Ali Akbar Estaji +2 more
doaj +1 more source
Fuzzy weakly prime Γ-ideals in Γ-rings [PDF]
Journal of Hyperstructures, 2017 In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime
G¨ul¸sah Ye¸silkurt +3 more
doaj +1 more source
Different types of primary ideals of near-rings and their graphs [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 In the last few decades, studies of graph theory based on algebraic structures have been pursued. Many studies have inspected graphs via groups, rings, near-rings, and seminear-rings, and vice versa. In our study, first we introduce different type of υ-
Adnan Muhammad +2 more
doaj
On fuzzy prime and fuzzy semiprime ideals of hypergroupoids [PDF]
Journal of Hyperstructures, 2016 We deal with an hypergroupoid endowed with a rela- tion denoted by \", we call it{hypergroupoid. We prove that a nonempty subset A of a{hypergroupoid H is a prime (resp. semiprime) ideal of H if and only if the characteristic function fA is a fuzzy prime
Niovi Kehayopulu
doaj +1 more source
On Neutrosophic Soft Prime Ideal [PDF]
Neutrosophic Sets and Systems, 2018 The motivation of the present paper is to extend the concept of neutrosophic soft prime ideal over a ring. In this paper the concept of neutrosophic soft completely prime ideals, neutrosophic soft completely semi-prime ideals and neutrosophic soft prime ...
Tuhin Bera, Nirmal Kumar Mahapatra
doaj +1 more source