Authors: Arun S. Muktibodh
In this paper we introduce the concept of half-groups. This is a totally new concept and demands considerable attention. R.H.Bruck [1] has defined a half groupoid. We have imposed a group structure on a half groupoid wherein we have an identity element and each element has a unique inverse. Further, we have defined a new structure called Smarandache half-group. We have derived some important properties of Smarandache half- groups. Some suitable examples are also given.
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[v1] 2013-06-06 10:14:00
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