Extract
On algebraic multi-group spaces.
Abstract A Smarandache multi-space is a union of n; n [greater than or equal to] 2 spaces [A.sub.1], [A.sub.2],... ,[A.sub.n] with some additional conditions. Combining classical groups with Smarandache multi-spaces, the conception of multi-group spaces is introduced in this paper, which is a generalization of the classical algebraic structures, such as the group, the filed, the body, ... , etc.. Similar to groups, some characteristics of multi-group spaces are obtained in this paper.
Keywords multi-space; group; multi-group space; Jordan-Holder theorem. [section]1. Introduction The notion of multi-spaces is introduced by Smarandache in [5] under his idea of hybrid mathematics: combining different fields into a unifying field ([6]). Today, this idea is widely accepted by the world of sciences. For mathematics, definite or exact sol...See the full content of this document
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