Results 1 to 10 of about 123 (65)
Operations on hyperideals in ordered Krasner hyperrings [PDF]
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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Hyperideal theory in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
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Topological Krasner hyperrings with special emphasis on isomorphism theorems [PDF]
, 2022 [EN] Krasner hyperring is studied in topological flavor. It is seen that Krasner hyperring endowed with topology, when the topology is compatible with the hyperoperations in some sense, fruits new results comprising algebraic as well as topological ...
Das, Kousik, Singha, Manooranjan
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Normal Self-injective Hyperrings [PDF]
, 2022 In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied.
Mayssam Fadel Abood +1 more
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The moduli space of matroids [PDF]
, 2018 In the first part of the paper, we clarify the connections between several algebraic objects appearing in matroid theory: both partial fields and hyperfields are fuzzy rings, fuzzy rings are tracts, and these relations are compatible with the respective ...
Baker, Matthew, Lorscheid, Oliver
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THE TRANSPOSITION AXIOM IN HYPERCOMPOSITIONAL STRUCTURES [PDF]
, 2011 The hypergroup (as defined by F. Marty), being a very general algebraic structure, was subsequently quickly enriched with additional axioms. One of these is the transposition axiom, the utilization of which led to the creation of join spaces (join ...
Massouros, Ch.G., Massouros, G.G.
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On the relation between hyperrings and fuzzy rings [PDF]
, 2017 We construct a full embedding of the category of hyperfields into Dress's category of fuzzy rings and explicitly characterize the essential image --- it fails to be essentially surjective in a very minor way. This embedding provides an identification of
A Connes +8 more
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Generalisations of Tropical Geometry over Hyperfields [PDF]
, 2022 Hyperfields are structures that generalise the notion of a field by way of allowing the addition operation to be multivalued. The aim of this thesis is to examine generalisations of classical theory from algebraic geometry and its combinatorial shadow ...
JAMES MAXWELL
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The associated hyperringoid to a Krasner hyperring
Journal of Taibah University for Science, 2018 “Ends Lemma” is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid.
H. Mirabdollahi +2 more
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Semiring systems arising from hyperrings
, 2022 Hyperfields and systems are two algebraic frameworks which have been developed to provide a unified approach to classical and tropical structures. All hyperfields, and more generally hyperrings, can be represented by systems. We show that, conversely, we
Akian, Marianne +2 more
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