On the Finite Groupoid G(n)

محورهای موضوعی : Group theory

M. Azadi ¹ , H. Amadi ²

1 - Department of Mathematics, Islamic Azad University, Centeral Tehran Branch, Tehran, Iran
2 - Department of Mathematics, Islamic Azad University, Centeral Tehran Branch, Tehran, Iran

تاریخ دریافت : 1391/10/12 تاریخ پذیرش : 1391/10/12 تاریخ انتشار : 1392/06/10

کلید واژه: Commuting regular semigroup, semigroup, groupoid,

چکیده مقاله :

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.

منابع و مأخذ:

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[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.