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Abstract: The concept of Smarandache Bryant Schneider Group of a Smarandache loop isintroduced. Relationships between the Bryant Schneider Group and theSmarandache Bryant Schneider Group of an S-loop are discovered and the later isfound to be useful in finding Smarandache isotopy-isomorphy conditions inS-loops just like the formal is useful in finding isotopy-isomorphyconditions in loops. Some properties of the Bryant Schneider Group of a loopare shown to be true for the Smarandache Bryant Schneider Group of aSmarandache loop. Some interesting and useful cardinality formulas are alsoestablished for a type of finite Smarandache loop.



Author: Temitope Gbolahan Jaiyeola

Source: https://arxiv.org/







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