Hv-structures associated withPQ-hyperoperations

Madanshekaf, Ali

doi:10.1080/09720529.2003.10697976

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The Hyperstructure (H⋅) Is Called H V -Semigroup If It Is W1

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2015

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“…For definitions, results and applications on H v -structures, see books [44], [4], [10], [12] and papers [6], [7], [8], [9], [11], [17], [18], [19], [22], [24], [46]. An extreme class is defined as follows [41], [44]: An H v -structure is very thin iff all hopes are operations except one, with all hyperproducts singletons except only one, which is a subset of cardinality more than one.…”

Section: The Hyperstructure (H⋅) Is Called H V -Semigroup If It Is Wmentioning

confidence: 99%

Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility

Vougiouklis¹

2015

AJMP

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Abstract:We present the largest class of hyperstructures called H v -structures. In H v -groups and H v -rings, the fundamental relations are defined and they connect the algebraic hyperstructure theory with the classical one. Using the fundamental relations, the H v -fields are defined and their elements are called hypernumbers or H v -numbers. H v -matrices are defined to be matrices with entries from an H v -field. We present the related theory and results on hypermatrices and on the Lie-Santilli admissibility.

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Section: The Hyperstructure (H⋅) Is Called H V -Semigroup If It Is Wmentioning

confidence: 99%

Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility

Vougiouklis¹

2015

AJMP

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H_v-structures associated withPQ-hyperoperations

Cited by 1 publication

References 2 publications

Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility

Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility

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