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On algebraic multi-vector spaces.

About 8 pages (2,516 words)

Scientia Magna, June 1st, 2006

Abstract A Smarandache multi-space is a union of n spaces [A.sub.1], [A.sub.2], ... ,[A.sub.n] with some additional conditions hold. Combining these Smarandache multi-spaces with linear vector spaces in classical linear algebra, the conception of multi-vector spaces is introduced. Some characteristics of multi-vector spaces are obtained in this paper.

Keywords Vector, multi-space, multi-vector space, dimension of a space.

[section] 1. Introduction

These multi-spaces was introduced by Smarandache in [6] under his idea of hybrid mathematics: combining different fields into a unifying field ...

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