Results 21 to 30 of about 242 (135)
Let R be a Γ-hyperring and M be an Γ -hypermodule over R. We introduce and tudy fuzzy RΓ -hypermodules. Also, we associate a Γ- hypermodule to every fuzzy Γ-hypermodule and investigate its basic properties.
R. Ameri, R. Sadeghi
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Topological Krasner hyperrings with special emphasis on isomorphism theorems
Krasner hyperring is one of the generalizations of the classical ring in literature. In this paper, the notion of topological Krasner hyperring is introduced as a generalization of topological ring and variant of isomorphism theorems are ...
Manooranjan Singha, Kousik Das
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Hyper Homomorphism and Hyper Product of Hyper UP-algebras
In this paper, we investigate the concept of regular congruence relation on hyper UP-algebras and establish some homomorphism theorems on such algebras. We also examine the notion of hyper product of hyper UP-algebras.
Rohaima M. Amairanto, Rowena Isla
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Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring [PDF]
We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties.
Md Salim Masud Molla +2 more
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On quotient clean hyperring [PDF]
In this paper, we introduce the notion of quotient Krasner hyperrings and prove that if I is a normal ideal of Krasner hyperring (R, +, ·), then quotient clean Krasner hyperring considered in [1] by Talebi et. al are just clean rings.
S. Ostadhadi-Dehkord
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On Characterizations of (ω, ε, ς)-Single Valued Neutrosophic Hyperrings and Hyperideals [PDF]
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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HYPER PATHS AND HYPER CYCLES [PDF]
In graphs, paths are walks with no repeated vertex. A fortiori, paths cannot have any repeated edge. But in hypergraphs, hyperedges can re- peat in vertex-to-vertex walks without causing repetition of any vertex. This is the crux of the idea of generalizing paths and cycles (from graphs to hyper- graphs) presented in this short article.
R. Dharmarajan, K. Kannan
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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 Hyperideals of Multiplicative Hyperrings
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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HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]
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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