Results 41 to 50 of about 84 (67)
Multiplicative hyperring of fractions and coprime hyperideals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
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On Hyperideals in Left Almost Semihypergroups
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 This paper deals with a class of algebraic hyperstructures called left almost semihypergroups (LA‐semihypergroups), which are a generalization of LA‐semigroups and semihypergroups. We introduce the notion of LA‐semihypergroup, the related notions of hyperideal, bi‐hyperideal, and some properties of them are investigated.
Kostaq Hila +3 more
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Generalizations of Prime Hyperideals via Hypersystems in Krasner Hyperrings
AxiomsThe aim of this study is to investigate generalized prime hyperideals in the framework of Krasner hyperrings. To this end, new classes of hyperideals are introduced and analyzed based on multiplicatively closed properties.
Mehmet Bozdaş, Ummahan Acar
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Some hyperideals defined on the basis of the intersection of all n-ary prime hyperideals
, 2022 Various classes of hyperideals have been studied in many papers in order to let us fully understand the structures of hyperrings in general. The purpose of this paper is the study of some hyperideals whose concept is created on the basis of the intersection of all n-ary prime hyperideals in category of Krasner (m,n)-hyperrings.
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Annals of Communications in Mathematics, 2020 The aim of the present paper is to define and bring together the fundamental definitions such as relative hyperideals, relative bi-hyperideals, relative quasi-hyperideals, relative prime hyperideals, relative weakly prime hyperideals, relative semiprime hyperideals, relative prime and relative semiprime bi-hyperideals, and hyper relative regularity of ...
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On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups
Journal of Hyperstructures, 2019 In this paper c-system , n-system and complete prime Γ-radical in a Γ-semihypergroup are introduced and studied whiledefinition of m-system has been revised. Maximal Γ-hyperideals are studied and the conditions under which maximal Γ-hyperideals are prime and vice versa are investigated.
Jamal Abdul Nasir, Ansari Safoora Samreen +1 more
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On Prime and Primary Hyperideals of a Multiplicative Hyperring
Annals of the Alexandru Ioan Cuza University - Mathematics, 2012 Summary: Procesi and Rota introduced and studied in brief the prime hyperideals of multiplicative hyperrings. Here we intend to investigate extensively the prime and primary hyperideals of multiplicative hyperrings with absorbing zero. Defining the radical of a hyperideal \(I\) of a multiplicative hyperring with absorbing zero, as the intersection of ...
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In this paper, we aim to introduce and study the notion of Endo-prime hyperideals.
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On expansions of prime and 2-absorbing hyperideals in multiplicative hyperrings
TURKISH JOURNAL OF MATHEMATICS, 2019 Summary: In this paper, we study \( \delta \)-primary and 2-absorbing \( \delta \)-primary hyperideals which are the extended classes of prime and 2-absorbing hyperideals, respectively. Assume that \(R\) is a commutative multiplicative hyperring with nonzero identity.
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Some contribution to study of general relative prime and weakly prime bi-hyperideals in ordered hypersemigroups [PDF]
European Journal of Mathematics and Applications, 2022 A. Basar +4 more
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