Proyecciones Journal of Mathematics
Vol. 27, Nº 2, pp. 145-153, August 2008.
Universidad Católica del Norte
Antofagasta - Chile


CHARACTERIZATION OF LALLEMENT ORDER ON A REGULAR SEMIGROUP


K. V. R. SRINIVAS

Regency Institute of Technology, Adavipolam - Yanam

Correspondencia a:

Abstract
In this paper a study of properties of the Mitsch order relation ’µ’on a regular semigroup and Nambooripads order on any arbitrary regular semigroup is made. Mainly a characterization of Lallement order on a regular semigroup is obtained. The necessary and sufficient condition for the restriction of Lallement order ’λ’ to B(S) to be usual order on an orthodox semigroup is also obtained.


Key words : Nambooripads Order , Mitsch Order ’µ’, Lallement order λ.
AMS Subject Classification 2000: 20 M 18.

REFERENCES
[1] Higgins, Peter, M: The Mitsch order on a semigroup, semigroup Forum Vol. 49, pp. 261-66, (1994).
[2] Howie J. M : Fundamentals of Semigroup theory Clarendon press, oxford (2003).
[3] Nambooripad K. S. S: The Natural Partial order on a regular semigroup, Proceedings of the Edinburgh, Mathematical Society, 23, pp. 249-260, (1980).

K. V. R. SRINIVAS
Asst. Professor
Regency Institute of Technology
Adavipolam, Yanam
Near kakinada.
Andhra Pradesh
Pin 533 464
India
e-mail : srinivas_kandarpa06@yahoo.co.in

Received : July 2007. Accepted : March 2008