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CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER [PDF]
Facta Universitatis, Series: Mathematics and InformaticsIn this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer calculations.
S. Mirvakili +2 more
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Relations on Krasner
European Journal of Combinatorics, 2009 \textit{G. Crombez} [Abh. Math. Semin. Univ. Hamb. 37, 180-199 (1972; Zbl 0247.08001)] generalized the concept of rings to the case of \(n\)-ary operations. Now this concept is extended to \(n\)-ary hyperoperations. Very elementary properties of such hyper-algebras are proved.
S. Mirvakili, Bijan Davvaz
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Near Krasner hyperrings on nearness approximation space [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2022 M. Mostafavi, B. Davvaz
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On graded absorbing hyperideals in graded Krasner hyperrings [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2022 P. Ghiasvand +3 more
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A RADICAL PROPERTY OF KRASNER TERNARY HYPERRINGS [PDF]
International Journal of Pure and Apllied Mathematics, 2015 Jovannie R. Castillo, Jocelyn P. Vilela
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Semi-derivation on prime hyperrings [PDF]
Journal of Hyperstructures, 2023 In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.Then, we derive some properties of semi ...
Nikhil D. Sonone, Kishor F. Pawar
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Hyperideals of (Finite) General Hyperrings [PDF]
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.
Reza Ameri +2 more
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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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Jacobson Radical in Unital Krasner Ternary Hyperrings
Asia Pacific Journal of Mathematicsopenalex +2 more sources
Regular local hyperrings and hyperdomains
AIMS Mathematics, 2022 This paper falls in the area of hypercompositional algebra. In particular it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings.
Hashem Bordbar +2 more
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