غروبوئيدات سمارانداك

Abstract EN

In 2002, Vasantha Kandasamy introduced four new classes of groupoids using the set of modulo integers Zn, and obtained some conditions for them to contain Smarandache groupoids.

In 2012, Florentin Smarandache and Vasantha constructed non associative structures using finite complex modulo integers c(Zn), and studied the Smarandache analogue.

In this paper, we study new conditions for these new classes of groupoids to contain Smarandache groupoids and obtain some new significant properties about them.

In addition some of theorems that we put in section 2 are mentioned as research problems in [6], and some others can help to solve them.