On the Finite Groupoid G(n)

Journal of Linear and Topological Algebra

مقاله 4، دوره 02، شماره 03، آذر 2013، صفحه 153-159   

نویسندگان

M. Azadi^* ؛ H. Amadi

Department of Mathematics, Islamic Azad University, Centeral Tehran Branch, Tehran, Iran

چکیده

In this paper we study the existence of commuting regular elements, verifying the notion left (right) commuting regular elements and its properties in the groupoid G(n). Also we show that G(n) contains commuting regular subsemigroup and give a necessary and sufficient condition for the groupoid G(n) to be commuting regular.

کلیدواژه‌ها

Commuting regular semigroup؛ semigroup؛ groupoid

مراجع

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[3] J. M. Howie, Fundamental of Semigroup Theory, Clarendon Prees. Oxford,New York, 1995.

[4] L. Pourfaraj, On the nite groupoid, International Mathematical Forum Vol. 7,2012, no. 23, 1105-1114.

[5] W. B. Vasantha Kandasmy, Groupoids and Smarandachegroupoids, Publishedby the American Reserch Press, 2002, math. GM.