Smarandache loops

By W. B. Vasantha Kandasamy. 2003

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In this paper we study the notion of Smarandache loops. We obtain some interesting results about them. The notion of Smarandache semigroups homomorphism is studied as well in this paper. Using the definition of homomorphism of Smarandache semigroups we give the classical theorem of Cayley for Smarandache semigroups. We also analyze the Smarandache loop homomorphism. We pose the problem of finding a Cayley theorem for Smarandache loops. Finally we show that all Smarandache loops Ln(m) for n > 3, n odd, varying n and appropriate m have isomorphic subgroups.

Subfields: Geometry and Topology, Management Science and Operations Research, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c4d2b5380ded2c4f6df43a06f37bc8ea595436e4