## Groupoids and Smarandache Groupoids

**Authors:** W. B. Vasantha Kandasamy

The study of Smarandache Algebraic Structure was initiated in the year 1998 by Raul
Padilla following a paper written by Florentin Smarandache called "Special Algebraic
Structures". In his research, Padilla treated the Smarandache algebraic structures mainly with
associative binary operation. Since then the subject has been pursued by a growing number of
researchers and now it would be better if one gets a coherent account of the basic and main
results in these algebraic structures. This book aims to give a systematic development of the
basic non-associative algebraic structures viz. Smarandache groupoids. Smarandache
groupoids exhibits simultaneously the properties of a semigroup and a groupoid. Such a
combined study of an associative and a non associative structure has not been so far carried
out. Except for the introduction of smarandacheian notions by Prof. Florentin Smarandache
such types of studies would have been completely absent in the mathematical world.

**Comments:** 115 pages

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### Submission history

[v1] 7 Mar 2010

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