On Algebraic Multi-Group Spaces

2005/10/20 by Linfan Mao, Mao, Linfan
Decision Sciences · Mathematics · #05C15 #20H15 #51D99 #51M05 #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #math.GM #msc:05C15 #msc:20H15 #msc:51D99 #msc:51M05

paper · pdf · doi:10.48550/arxiv.math/0510427

8 pages

arxiv created 2005/10/20 · openalex publication_date 2005/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Smarandache multi-space is a union of n spaces A₁,A₂,..., A_n with some additional conditions holding. Combining classical of a group with Smarandache multi-spaces, the conception of a multi-group space is introduced in this paper, which is a generalization of the classical algebraic structures, such as the group, filed, body, ..., etc.. Similar to groups, some characteristics of a multi-group space are obtained in this paper.

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