Results 1 to 10 of about 1,329,079 (242)

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
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On the Characterization of Maximal and Minimal Ideals in Several Neutrosophic Rings [PDF]

Neutrosophic Sets and Systems, 2021
If R(I) is a neutrosophic ring, then every subset of R(I) has the form 𝑀 = 𝑃 + 𝑆𝐼, where P,S are subsets of the classical ring R. The objective of this paper is to determine the necessary and sufficient condition on classical subsets P and S which makes ...
Mohammad Abobala
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A study of maximal and minimal ideals of n-refined neutrosophic rings [PDF]

Journal of Fuzzy Extension and Applications, 2021
If R is a ring, then Rn(I) is called a refined neutrosophic ring. Every AH-subset of Rn(I) has the form P = ∑ni=0 p i Ii= {a0+a1I+⋯+anIn: ai∈p i}, where p i are subsets of the classical ring R.
Mohammad Abobala
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Solutions of Some Kandasamy-Smarandache Open Problems About the Algebraic Structure of Neutrosophic Complex Finite Numbers [PDF]

Neutrosophic Sets and Systems, 2023
The aim of this paper is to study the neutrosophic complex finite rings 𝐶(𝑍𝑛 ) 𝑎𝑛𝑑 𝐶(< 𝑍𝑛 ∪ 𝐼 >), and to give a classification theorem of these rings. Also, this work introduces full solutions for 12 Kandasamy-Smarandache open problems concerning these ...
Basheer Abd Al Rida Sadiq
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Ideal based hypergraph of a commutative ring

AKCE International Journal of Graphs and Combinatorics, 2021
Let R be a commutative ring and k an integer strictly greater than 2. The k-maximal ideal hypergraph to R with vertex set the set of all k-maximal ideals in R and for distinct ideals I1, in the set is an edge of if and only if and the sum of any elements
V. C. Amritha, K. Selvakumar
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C(X) determines X - an inherent theory

Applied General Topology, 2023
One of the fundamental problem in rings of continuous function is to extract those spaces for which C(X) determines X, that is to  investigate X and Y such that C(X) isomorphic with C(Y ) implies X homeomorphic with Y.
Biswajit Mitra, Sanjib Das
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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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ON MAXIMAL IDEALS OF R∞L [PDF]

Journal of Algebraic Systems, 2018
Let $L$ be a completely regular frame and $mathcal{R}L$ be the ring of real-valued continuous functions on $L$. We consider the set $$mathcal{R}_{infty}L = {varphi in mathcal{R} L : uparrow varphi( dfrac{-1}{n}, dfrac{1}{n}) mbox{ is a compact frame for ...
A. A. Estaji, A. Mahmoudi Darghadam
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The Fuzziness of Fuzzy Ideals [PDF]

Journal of Information Technology Management, 2020
The backing of the fuzzy ideal is normal ideal in some ring and in same time there fuzzy set whose is not fuzzy ideal and it backing set is ideal, i.e., it crisp is normal ideal.
Amer Himza Almyaly
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Almost zip Bezout domain

Математичні Студії, 2020
J. Zelmanowitz introduced the concept of a ring, which we call a zip ring. In this paper we characterize a commutative Bezout domain whose finite homomorphic images are zip rings modulo its nilradical.
O.M. Romaniv, B.V. Zabavsky
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