Results 51 to 60 of about 117 (89)
On topological quotient hyperrings and α*-relation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this research, we first introduce the concept of a topological Krasner hyperring and then proceed to investigate its properties. By applying relative topology to subhyperrings, we analyze the properties associated with them. In other words, the aim is
Zare A., Davvaz B.
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Operations on hyperideals in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
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$J$-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.
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Various Kinds of Freeness in the Categories of Krasner Hypermodules
International Journal of Analysis and Applications, 2018 The purpose of this paper is to study the concept of freeness in the categories of Krasner hypermodules over a Krasner hyperring. In this regards first we construct various kinds of categories of hypermodules based on various kinds of homomorphisms of ...
Hossein Shojaei, Reza Ameri
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$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
, 2021 In this study, we examine some properties of $r$-hyperideals in the commutative Krasner hyperrings. Some properties of $pr$-hyperideals are also studied. The relation between prime hyperideals and $r$-hyperideals is investigated. We show that the image and the inverse image of an $r$-hyperideal is also an $r$-hyperideal.
Bolat, Melis +5 more
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CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER
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.
Saeed Mirvakili +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.
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Spectral hyperspaces of Krasner hyperrings
The purpose of this note is to prove that the hyperspaces of proper hyperideals of Krasner hyperrings are spectral.
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$\phi$-$\delta$-Primary Hyperideals in Krasner Hyperrings
, 2021 In this paper, we study commutative Krasner hyperring with nonzero identity. $\phi$-prime, $\phi$-primary and $\phi$-$\delta$-primary hyperideals are introduced. We intend to extend the concept of $\delta$-primary hyperideals to $\phi$-$\delta$-primary hyperideals. We give some characterizations of hyperideals to classify them. We denote the set of all
Kaya, Elif +4 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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