ON INTRA REGULAR ORDERED SEMIGROUPS
D. Kanthakumar, Pandarinathan Nandakumar · International Journal of Pure and Apllied Mathematics · 2015
In this paper, we discuss some properties of intra regular semi- groups. We obtain equivalent condition for a semigroup to be intra regular. We have shown that if M is an ideal of an intra regular ordered semigroup S then M is completely prime. We have shown that if A is an ideal of a semigroup S and if B is any subset of S then (A : B) is an ideal of S.