Results 51 to 60 of about 242 (135)
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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Complementary Multiplicative hyperrings
, 2008 In this paper the complementary hyperstructure obtained from a multiplicative hyperring is considered. Furthermore a characterization for such hyperstructures obtained starting from a strongly distributive multiplicative hyperring is ...
Rita Procesi +4 more
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Height of prime hyperideals in Krasner hyperrings
, 2017 Extending the notion of dimension of a hyperring, we introduce the concept of height of a prime hyperideal of a hyperring, similarly as in ring theory, and we present some basic properties and relations with the dimension notion.
Hashem Bordbar, Irina Cristea
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Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, we define linear codes and cyclic codes over a finite Krasner hyperfield and we characterize these codes by their generator matrices and parity check matrices.
Atamewoue Surdive +3 more
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Applications of the α⁎-relation to Krasner hyperrings
, 2012 This paper deals with a special type of hyperrings called Krasner hyperring. The main tool is the studding of the α⁎-relation. The α⁎-relation was introduced by Davvaz and Vougiouklis. Indeed, we use the α⁎-relation in a given Krasner hyperring.
Mirvakili, S., Davvaz, B.
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On 2-absorbing Primal Hyperideals Of Multiplicative Hyperrings
, 2020 Let R be a commutative multiplicative hyperring. In this paper, we introduce the concept of 2-absorbing primal hyperideals. A non zero hyperideal I of a multiplicative hyperring R is called a 2-absorbing primal hyperideal of R if the set of all elements ...
Arwa Ashour +5 more
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A Study on Special Kinds of Derivations in Ordered Hyperrings
, 2022 In this study, we concentrate on an important class of ordered hyperstructures with symmetrical hyperoperations, which are called ordered Krasner hyperrings, and discuss strong derivations and homo-derivations.
Saeed Kosari +3 more
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Transitivity of the εm-relation on (m-idempotent) hyperrings
Open Mathematics, 2018 On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
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Hyperaffine planes over hyperrings
, 1996 The aim of this paper is to construct a geometric structure over both an hyperring and a multiplicative hyperring. In order to accomplish this goal we will need to define a particular class of planar hyperrings. Moreover, the notions of hyperaffine plane,
ROTA, Rosaria
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