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- W2896945513 abstract "Hyperstructures are a natural extension of regular algebraic structures in which one of the operations, known as the hyperoperation, is multivalued; a hyperfield is such an extension on a field. M. Krasner (1962) proved that the quotient $mathbb{F}_p/G$, where $G$ is a subgroup of units in $mathbb{F}_p$ is a hyperfield. The characteristic of a field may be explicitly determined from the order of the field, but there are no existing generalizations for determining the characteristic of a hyperfield of the form $mathbb{F}_p/G$. We show that for odd primes $p$, there exists an explicit form for the characteristic of the hyperfield $mathbb{F}_p/G$ and $|G|=1,2,3,4$. Finally, we prove a general form of the characteristic for hyperfields where $|G|$ is prime." @default.
- W2896945513 created "2018-10-26" @default.
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- W2896945513 date "2018-10-07" @default.
- W2896945513 modified "2023-09-27" @default.
- W2896945513 title "On Characteristics of Hyperfields Obtained as Quotients of Finite Fields" @default.
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- W2896945513 hasPublicationYear "2018" @default.
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