Authors in this book for the first time have constructed nonassociative structures like groupoids, quasi loops, non associative semirings and rings using finite complex modulo integers. The Smarandache analogue is also carried out. We see the nonassociative complex modulo integers groupoids satisfy several special identities like Moufang identity, Bol identity, right alternative and left alternative identities. P-complex modulo integer groupoids and idempotent complex modulo integer groupoids are introduced and characterized. This book has six chapters. The first one is introductory in nature. Second chapter introduces complex modulo integer groupoids and complex modulo integer loops.
Zip Publishing, Ohio
non associative algebraic structures, neutrosophic logic
W.B. Vasantha Kandasamy & F. Smarandache. Non Associative Algebraic Structures Using Finite Complex Numbers. Ohio: Zip Publishing, 2012.
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