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Chains of Smarandache semifields.(Report)
- Article from:
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Smarandache Notions Journal
- Article date:
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January 1, 2004
- Author:
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Copyright informationCOPYRIGHT 2004 American Research Press. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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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 ...