IJPAM: Volume 61, No. 1 (2010)
Department of Mathematics
Islamabad, 45320, PAKISTAN
Abstract.In this paper we consider a regular semigroup and a subsemigroup having the property that for every belongs to and show that is a maximal subgroup for some idempotent When is orthodox, is medial and is uniquely unit orthodox. When is orthodox and is a middle unit, we obtain a structure theorem for uniquely unit orthodox semigroup.
Received: March 20, 2010
AMS Subject Classification: 47D60
Key Words and Phrases: ortodox, pre-inverse, medial, middle unit
Source: International Journal of Pure and Applied Mathematics