Algebraic Structures on Multi Groups I

S.F. El-Hadidi

Abstract: A simple definition of multi-group was derived it helps us to find some properties of multi-groups. Every homomorphic image of a multi-group is a multi-group. Every pre homomorphic image of a multi-group is also a multi-group. Necessary and sufficient conditions for a multiset to be a multi-group was obtained.

Keywords: multi-set, multigroup