Results 21 to 30 of about 310 (116)
$J$-hyperideals and their expansions in a Krasner $(m,n)$-hyperring
Hacettepe Journal of Mathematics and Statistics, 2023 Over the years, different types of hyperideals have been introduced in order to let us fully realize the structures of hyperrings in general. The aim of this research work is to define and characterize a new class of hyperideals in a Krasner $(m,n)$-hyperring that we call n-ary $J$-hyperideals.
Mahdi Anbarloei
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Weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring
Hacettepe Journal of Mathematics and Statistics, 2023 In this paper, we introduce new expansion classes, namely weakly $ (k,n) $-absorbing hyperideals and weakly $ (k,n) $-absorbing primary hyperideals of a Krasner $ (m,n) $-hyperring, including $ (k,n) $-absorbing hyperideal and $ (k,n) $-absorbing primary hyperideal.
Bijan DAVVAZ +2 more
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On σ-derivations of Krasner hyperrings
Gulf Journal of MathematicsWe present a significant extension of the derivation concept to Krasner hyperrings, namely the σ-derivation, which is defined utilizing a self-mapping σ on the hyperring R. We investigate several important properties of these σ-derivations and explore their behavior in prime Krasner hyperrings. Furthermore, we establish conditions under which a Krasner
Leerawat, Utsanee +2 more
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Krasner (m,n)-hyperring of fractions
, 2022 The formation of rings of fractions and the associated process of localization are the most important technical tools in commutative algebra. Krasner (m,n)-hyperrings are a generalization of (m,n)-ring. Let R be a commutative Krasner (m,n)-hyperring.
M. Anbarloei
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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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A RADICAL PROPERTY OF KRASNER TERNARY HYPERRINGS [PDF]
International Journal of Pure and Apllied Mathematics, 2015 J.R. Castillo, J.P. Vilela
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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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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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On quotient clean hyperring [PDF]
Journal of Hyperstructures, 2015 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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