On Multi-Vector Spaces

A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,\mathrm{.}\mathrm{.}\mathrm{.},A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with linear vector spaces in classical linear algebra, the conception of multi-vector spaces is introduced. Some characteristics of a multi-vector space are obtained in this paper.