Results 31 to 40 of about 176 (124)
Soft Substructures in Quantales and Their Approximations Based on Soft Relations
Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022 The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Huan Zhou +6 more
wiley +1 more source
Regular Parameter Elements and Regular Local Hyperrings
Mathematics, 2021 Inspired by the concept of regular local rings in classical algebra, in this article we initiate the study of the regular parameter elements in a commutative local Noetherian hyperring.
Hashem Bordbar, Irina Cristea
doaj +1 more source
Journal of Hyperstructures, 2015 We introduce and study clean hyperrings. A hyperring R is called a clean hyperring if for every element x of R, x ∈ u + e where u is a unit and e is an idempotent.
Taybeh Amouzegar, Yahya Talebi
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On Characterizations of (ω, ε, ς)-Single Valued Neutrosophic Hyperrings and Hyperideals [PDF]
Neutrosophic Sets and Systems, 2022 This study included concepts for (ω, ε, ς)-single valued neutrosophic hyperring ((ω, ε, ς)-SV NHR) and (ω, ε, ς)-single valued neutrosophic hyperideal ((ω, ε, ς)-SV NHI).
Muhammad Shazib Hameed +3 more
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HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]
Journal of Algebraic Systems, 2019 An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
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On Hyperideals of Multiplicative Hyperrings
Cumhuriyet Science Journal, 2022 Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
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An introduction to the theory of algebraic multi-hyperring spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.
Hila Kostaq, Davvaz Bijan
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Normal Self-injective Hyperrings
مجلة بغداد للعلوم, 2022 In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied.
Mayssam Fadel Abood +1 more
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A class of hyperrings and hyperfields
International Journal of Mathematics and Mathematical Sciences, 1983 Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, but a hypercomposition, i.e., the sum x+y of two elements, x,y, of a hyperring H is, in general, not an element but a subset of H.
Marc Krasner
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A GENERALIZATION OF PRIME HYPERIDEALS [PDF]
Journal of Algebraic Systems, 2020 Let $R$ be a multiplicative hyperring. In this paper, we introduce and study the concept of n-absorbing hyperideal which is a generalization of prime hyperideal.
M. Anbarloei
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