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Chains of Smarandache semifields.(Report)

Abstract

In this paper we have constructed two chains of semifields. All semifields in the chains are Smarandache semifields. Every member of the chain is an extension semifield of Ordered equilateral Integral triangles with Zero triangle such that it is a semivector space over [R.sup.I.sub.e[DELTA]].

Key words: Ordered integral triangle, Zero triangle, Equilateral integral triangle Smarandache semiring, Smarandache semifield. Smarandache semivector space.

1. Introduction

Recently there has been an increasing interest in the study of Smarandache semirings and associated structures. We propose to construct two chains of infinite Smarandache semifields by ...

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