%0 Journal Article
%T On Regular Co-Medial Algebras
%A Amir Ehsani
%J Journal of Mathematics Research
%D 2012
%I 
%R 10.5539/jmr.v4n2p101
%X In this paper we define the concepts of co-medial algebra and  regular algebra and we will show that for a regular co-medial algebra $(A,f,g)$, there exist a commutative semigroup $(A,+)$, such that the operations $f,g$ have the linear representation on $(A,+)$. As a consequence of above result, we have the linear representation of an $n-$ary medial groupoid with an regular element, which was obtained by (Evans, T., 1963, p. 331-349).
%U http://www.ccsenet.org/journal/index.php/jmr/article/view/14220