On the Finite Groupoid G(n)

Subject Areas : 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

Received: 2013-01-01 Accepted : 2013-01-01 Published : 2013-09-01

Keywords: Commuting regular semigroup, semigroup, groupoid,

Abstract :

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.

References:

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