Results 41 to 50 of about 58,364 (303)
On Interval-valued Anti Fuzzy Prime bi-ideal of Semigroup
Tikrit Journal of Pure Science, 2023 In this paper, we introduce the notions of interval-valued anti fuzzy prime (resp. strongly prime and semiprime) bi-ideals of semigroup. By using these ideas, we characterize those semigroup for which each interval anti-fuzzy bi-ideal is semiprime and ...
S. A. Wuhaib +2 more
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A ONE-SIDED PRIME IDEAL PRINCIPLE FOR NONCOMMUTATIVE RINGS [PDF]
, 2010 Completely prime right ideals are introduced as a one-sided generalization of the concept of a prime ideal in a commutative ring. Some of their basic properties are investigated, pointing out both similarities and differences between these right ideals ...
MANUEL L. REYES
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ℒ-Fuzzy Ideals of Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2019 This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole +3 more
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Behaviour of ring ideal in neutrosophic and soft sense [PDF]
Neutrosophic Sets and Systems, 2019 This article enriches the idea of neutrosophic soft ideal (NSI). The notion of neutrosophic soft prime ideal (NSPI) is also introduced here. The characteristics of both NSI and NSPI are investigated.
Tuhin Bera +2 more
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Journal für die reine und angewandte Mathematik (Crelles Journal), 1983 Linnik's theorem on the least prime in an arithmetic progression is extended to algebraic number fields. The results are formulated in terms of the arithmetic of the field in a sufficiently invariant way that they apply also to the least prime ideal in the Chebotarev density theorem.
openaire +1 more source
Commutative rings in which every prime ideal is contained in a unique maximal ideal [PDF]
, 1971 The class of rings with 1 satisfying the properties of the title is characterized by some separation properties on the prime and maximal spectra, and, in such rings, the map which sends every prime ideal into the unique maximal ideal containing it, is ...
Adalberto Orsatti, Giuseppe De Marco
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ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS [PDF]
, 2023 The prime ideal graph of in a finite commutative ring with unity, denoted by , is a graph with elements of as its vertices and two elements in are adjacent if their product is in .
Supu, Nur Ain +11 more
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On quasi-prime differential semiring ideals
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commutative rings, i.e. commutative rings considered together with a derivation, as differential ideals maximal among those not meeting some multiplicatively ...
І. О. Мельник
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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 +2 more
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Characterization of rings with genus two prime ideal sum graphs [PDF]
, 2023 Let $R$ be a commutative ring with unity. The prime ideal sum graph of the ring $R$ is a simple undirected graph whose vertex set is the set of nonzero proper ideals of $R$ and two distinct vertices $I$ and $J$ are adjacent if and only if $I + J$ is a ...
Mathil, Praveen, Kumar, Jitender
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