Results 41 to 50 of about 143 (110)
Classes of $F$-hyperideals In A Krasner $F^{(m,n)}$-Hyperring [PDF]
Journal of Mahani Mathematical Research, 2023 Krasner $F^{(m,n)}$-hyperrings were introduced and investigated by Farshi and Davvaz. In this paper, our purpose is to define and characterize three particular classes of $F$-hyperideals in a Krasner $F^{(m,n)}$-hyperring, namely prime $F ...
Mahdi Anbarloei
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Hyperideals of (Finite) General Hyperrings
Mathematics Interdisciplinary Research, 2021 A general hyperring is an algebraic hypercompositional system (R,+,·) with two hyperoperations ”+" and ” · ”, such that for all x,y ∈ R, x + y and x · y are non-empty subsets of R, and R satisfies the axioms similar to a ring. We introduce and study hyperideals of a general hyperring.
Ameri, Reza +2 more
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On Fuzzy Ordered Hyperideals in Ordered Semihyperrings
Advances in Fuzzy Systems, 2019 In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We
O. Kazancı, Ş. Yılmaz, B. Davvaz
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Completely Prime Hyperideals of Ternary Semihypergroups
Discussiones Mathematicae - General Algebra and Applications, 2020 In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Sarala Y. +3 more
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On Minimal and Maximal Hyperidealsin n-ary Semihypergroups
Mathematics, 2020 The concept of j-hyperideals, for all positive integers 1≤j≤n and n≥2, in n-ary semihypergroups, is a generalization of the concept of left, lateral and right hyperideals in ternary semihypergroups.
Jukkrit Daengsaen +2 more
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On (∈,∈∨qk)-Fuzzy Hyperideals in Ordered LA-Semihypergroups
Discrete Dynamics in Nature and Society, 2018 The concept of (∈,∈∨qk)-fuzzy hyperideal of an ordered LA-semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated.
Muhammad Azhar +3 more
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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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J-hyperideals and related generalizations in multiplicative hyperrings [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals. A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$, then ...
Mahdi Anbarloei, Ali Behtoei
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Soft semihyperrings- an introduction [PDF]
Journal of Hyperstructures, 2012 The purpose of this paper is to introduce and study soft semihyperrings by giving importance both on attributes and functional value. In this paper the notions of soft semihyperring and its ideals are introduced and studied systematically.
D. Mandal, S. K. Sardar
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Primal hyperideals of multiplicative hyperring
, 2021 Summary: In this paper, we introduce the concepts of adjoint, \(\mathrm{n}\)-adjoint of a hyperideals and primal and \(\mathrm{n}\)-primly hyperideals of a commutative multiplicative hyperrings. Many results con-cerning prime, \(\mathrm{n}\)-primly, primary and primal hyperideals of a commutative multiplicative hy-perrings are given, illustrated by ...
Al-Ashker, Mohammed M. +2 more
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