Results 1 to 10 of about 58,364 (303)

A Prime Ideal Principle for Two-Sided Ideals [PDF]

Communications in Algebra, 2016
22 ...
Manuel L Reyes
exaly   +8 more sources

Maximal Ideal and Prime Ideal in an L-lattice [PDF]

Fuzzy Information and Engineering
In this paper, the notions of an L-sublattice, L-ideal, and L-dual ideal of an L-lattice are introduced. The concepts of an L-maximal ideal and an L-prime ideal in an L-lattice are also defined. The present paper also gives the precise structures of an L-
Aparna Jain, Iffat Jahan
doaj   +4 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, Naseem Ajmal, Iffat Jahan   +2 more
doaj   +2 more sources

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   +3 more sources

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

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, Suat Koç, Rashid Abu-Dawwas, Eda Yıldız   +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, Ali Saghafi Khorasani, Samaneh Baghdari   +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, SERKAN ONAR, Deniz S¨onmez, Bayram Ersoy   +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, Muhammad Ashraf, Waheed Ahmad Khan   +2 more
doaj