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Smarandache Multi-Space Theory(I)-Algebraic multi-spaces

Research paper by Linfan Mao

Indexed on: 22 Apr '06Published on: 22 Apr '06Published in: Mathematics - General Mathematics



Abstract

A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This paper is the first part on characterizing multi-spaces. Various algebraic multi-spaces with structures such as those of multi-groups, multi-rings, multi-vector spaces, multi-metric spaces, multi-operation systems are discussed and new results are obtained.