Existence theorem of finite Krasner hyperfields

2021/04/18 by Surdive Atamewoue Tsafack, Ogadoa Amassayoga, Tsafack, Surdive Atamewoue +5
Engineering · Computer Science · Mathematics · #Advanced Numerical Analysis Techniques #Polynomial and algebraic computation #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.2104.08888

Abstract

The concern of this paper is to show that there always exist Krasner hyperfields of order n, where n is an integer greater than or equal to 2.

Related

• A result of Krasner in categorial form
• Finite Hyperfields of Order n≤ 5
• The class of Krasner hyperfields is not elementary
• Notes on valuation theory for Krasner hyperfields
• Algorithmic Construction of Real Hyperfields from Minimal Axioms