Results 21 to 30 of about 541,915 (291)

On weakly S-prime ideals of commutative rings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper, we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime ideals. Let P be an ideal of R disjoint with S. We say that P is a
Almahdi Fuad Ali Ahmed   +2 more
doaj   +1 more source

Expansions of Prime Ideals

open access: yesRocky Mountain Journal of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malcolmson, P., Okoh, F.
openaire   +2 more sources

On Prime E-ideals of Almost Distributive Lattices

open access: yesInternational Journal of Analysis and Applications, 2023
In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL.
N. Rafi   +3 more
doaj   +1 more source

On certain generalized prime ideals in boolean like semiring of fractions [PDF]

open access: yesJournal of Hyperstructures, 2014
In this paper, we introduce the notions of semiprime ideals, 2-potent prime ideals, weakly prime ideals and weakly primary ideals in a Boolean like semiring of fractions. Further, we obtain various results concerning the notions.
K. H. Demissie   +2 more
doaj   +1 more source

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   +1 more source

Reduced zero-divisor graphs of posets [PDF]

open access: yesTransactions on Combinatorics, 2018
This paper investigates properties of the reduced zero-divisor graph of a poset. We show that a vertex is an annihilator prime ideal if and only if it is adjacent to all other annihilator prime ideals and there are always two annihilator prime ideals ...
Deiborlang Nongsiang, Promode Saikia
doaj   +1 more source

Characterizations of Fuzzy Ideals in Coresiduated Lattices

open access: yesAdvances in Mathematical Physics, 2016
The notions of fuzzy ideals are introduced in coresiduated lattices. The characterizations of fuzzy ideals, fuzzy prime ideals, and fuzzy strong prime ideals in coresiduated lattices are investigated and the relations between ideals and fuzzy ideals are ...
Yan Liu, Mucong Zheng
doaj   +1 more source

Rough Fuzzy Ideals Induced by Set-Valued Homomorphism in Ternary Semigroups

open access: yesJournal of Function Spaces, 2022
The main objective of this paper is to characterize rough approximations of fuzzy ideals in ternary semigroups. Rough fuzzy ideals are used to deal with vague and incomplete information in decision-making problems.
Shahida Bashir   +3 more
doaj   +1 more source

Generalized Rough Fuzzy Ideals in Quantales

open access: yesDiscrete Dynamics in Nature and Society, 2018
The paper examines the generalized rough fuzzy ideals of quantales. There are some intrinsic relations between fuzzy prime (primary) ideals of quantales and generalized rough fuzzy prime (primary) ideals of quantales.
Saqib Mazher Qurashi, Muhammad Shabir
doaj   +1 more source

Some Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings

open access: yesWalailak Journal of Science and Technology, 2018
The purpose of this paper is to introduce the notion of prime and left prime ideals in Γ-LA-rings. Some characterizations of prime, left prime, and weakly left ideals are obtained.
Pairote YIARAYONG
doaj   +1 more source

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