On weak-hyperfields

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Vougiouklis T.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2024 | Volume:5 | Issue:2 Page(s): 33-43

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Information Journal Paper

Title

On weak-hyperfields

Author(s)

Vougiouklis T. | Issue Writer Certificate

Keywords

Hyper-structure

Hv-group

Hv-field

Abstract

The first use of the largest class of hyper-structures, the Hv-structures, and their fundamental relations was to define the general hyper-field. Moreover, the enormous number Hv-structures defined on the same set, admits a partial order and has a lot of applications in pure mathematics and other sciences. We present ways to obtain appropriate Hv-fields from given well-known classical rings.

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