Results 11 to 20 of about 1,300,388 (301)

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

open access: yesFuzzy 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   +5 more sources

Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring

open access: yesFuzzy 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   +2 more sources

On Neutrosophic Soft Prime Ideal [PDF]

open access: yesNeutrosophic 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   +2 more sources

Prime ideal on the end_Z (Z^n ) Ring

open access: yesAl-Jabar, 2022
The set of all endomorphisms over -module  is a non-empty set denoted by . From  we can construct the ring of  over addition and composition function. The prime ideal is an ideal which satisfies the properties like the prime numbers.
Zakaria Bani Ikhtiyar   +2 more
doaj   +2 more sources

Fuzzy Prime Ideal Theorem in Residuated Lattices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization.
Pierre Carole Kengne   +2 more
doaj   +2 more sources

Prime ideal graphs of commutative rings [PDF]

open access: yesIndonesian 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   +2 more sources

A note On 2-prime ideals [PDF]

open access: yesJournal 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]

open access: yesJournal 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

Hesitant Fuzzy Prime Ideal of Γ- ring [PDF]

open access: yes, 2022
In this paper, we introduce the notions of hesitant fuzzy ideal, hesitant fuzzy prime ideal, hesitant fuzzy strongly prime ideal in gamma rings and hesitant 3-prime ideal.
Karim, Mazen Omran, Ghanim, Rand Shafea
core   +1 more source

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