Results 61 to 70 of about 196 (109)
Primitive hyperideals and hyperstructure spaces of hyperrings [PDF]
We introduce primitive hyperideals of a hyperring $R$ and show how they are related to $R$ itself, and to maximal and prime hyperideals of $R$. We endow a Jacobson topology on the set of primitive hyperideals of $R$ and study the topological properties ...
Amartya Goswami +2 more
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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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Fat 4-polytopes and fatter 3-spheres
, 2002 We introduce the fatness parameter of a 4-dimensional polytope P, defined as \phi(P)=(f_1+f_2)/(f_0+f_3). It arises in an important open problem in 4-dimensional combinatorial geometry: Is the fatness of convex 4-polytopes bounded?
Eppstein, David +2 more
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Notes on valuation theory for Krasner hyperfields
, 2023 The main aim of this article is to study and develop valuation theory for Krasner hyperfields. In analogy with classical valuation theory for fields, we generalise the formalism of valuation rings to describe equivalence of valuations on hyperfields ...
Linzi, Alessandro
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C-Γ-hyperideal Theory in Ordered Γ-semihypergroups
, 2017 Our purpose in this article is to characterize the properties of C-Γ-hyperideals in ordered Γ-semihypergroups. As an application of the results of this paper, the corresponding results of ordered semihypergroups can also be obtained by moderate ...
Bijan Davvaz, Saber Omidi
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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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J-hyperideals and related generalizations in multiplicative hyperrings [PDF]
In this paper, we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals. A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$, then ...
Ali Behtoei, Mahdi Anbarloei
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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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