Smarandache Multi-Space Theory(I)-Algebraic multi-spaces
Linfan Mao
Abstract
A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n≥ 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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