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

Linfan Mao
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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.

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Linfan Mao. 2006-04-22. Smarandache Multi-Space Theory(I)-Algebraic multi-spaces. https://arxiv.org/abs/math/0604480

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