IJPAM: Volume 98, No. 5 (2015)
Department of Mathematics
Research and Development Centre
Coimbatore, 641 046, INDIA
Perunthalaivar Kamarajar Institute of Engineering and Technology
Karaikal, 609 603 (U.T.of Puducherry), INDIA
Abstract. In this paper, we discuss some properties of intra regular semigroups. We obtain equivalent condition for a semigroup to be intra regular. We have shown that if is an ideal of an intra regular ordered semigroup then is completely prime. We have shown that if is an ideal of a semigroup and if is any subset of then is an ideal of
Received: January 29, 2015
AMS Subject Classification: 06F05, 20M17, 16D25
Key Words and Phrases: ordered semigroups and monoids, regular semigroup, ideals
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DOI: 10.12732/ijpam.v98i5.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 27 - 31