Results 51 to 60 of about 763 (156)
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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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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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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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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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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Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring
Journal of Applied Mathematics, 2014 Some generalized forms of the hyperideals of a hyperring in the paper of Zhan et al. (2008) will be given. As a generalization of the interval valued (α,β)-fuzzy hyperideals of a hyperring with α,β∈{∈,q,∈∧q,∈∨q} and α≠∈∧q, the notion of generalized ...
Hongjie Li, Zeyuan Li, Yunqiang Yin
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Multiplicative hyperring of fractions and coprime hyperideals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
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, 2011 The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Roy, Sanjay, Samanta, T. K.
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Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras
European Journal of Pure and Applied Mathematics, 2019 Given a hyper BCK-algebra (H, ∗, 0), each of the families BL(H) = {LH(A) : ∅ 6=A ⊆ H} and BR(H) = {RH(A) : ∅ 6= A ⊆ H} forms a base for some topology on H, where LH(A) = {x ∈ H : x a, ∀a ∈ A} and RH(A) = {x ∈ H : a x, ∀a ∈ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1
Rachel M. Patangan, Sergio R. Canoy
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The algebraic hyperstructure of elementary particles in physical theory
, 2010 Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set ...
A Kiseleva +8 more
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