[1] **viXra:1102.0045 [pdf]**
*submitted on 23 Feb 2011*

**Authors:** Constantin Scheau

**Comments:**
8 pages.

The multi-space structure has been defined by Fl Smarandache as a union spaces with
some additional conditions hold. The mathematician L. Mao wrote a series of works in which he
introduces the concepts of multi-group, multi-ring, multivector - space etc. In [1] (Smarandache
Multi-Space Theory (I)), at open problems section, he suggests the introduction of a theory of
matrices and applications defined on the multi-linear spaces. This paper will give an example of
a multi-ring structure, introduces the notion of multi-matrix and defines the multi-matrix addition
and multiplication.

**Category:** Algebra