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.


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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