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The notions of the SMARANDACHE GROUP and the SMARANDACHE BOOLEAN RING

unpublished

The notions of the Snmarandache group and the Smarandache Boolean ring are introduced here with the help of group action and ring action i.e. module respectively. The centre of the Smarandache groupoid is determined. These are very important for the study of Algebraic structures. 1. The centre of the Smarandache groupoid: Definition 1. 1 An element a of the smarandache groupoid (Zp, Ll) is said to be conjugate to b if there exists r in Zp such that a = r Ll b Ll r. Definition 1.2 An element a

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