The Order of Elements of the Semigroups $(W_{\tau}(X_2))^2$ and $(W_{\tau}(X_3))^3$

Damrongsak Punyathip, Thawhat Changphas

Abstract

In this paper, we determine the order of all elements of the semigroups (W (X2))2 and (W (X3))3, respectively. We show that the order of an element of (W (X2))2 is 1; 2 or in nite and the order of an element of (W(X3))3 is 1; 2; 3 or in nite.