Characterization of Lallement order on a regular semigroup
DOI:
https://doi.org/10.4067/S0716-09172008000200002Keywords:
Nambooripads Order ν, Mitsch Order ’μ’, Lallement order λ, Nambooripads de orden ν, Mitsch de orden ’μ’, Lallement de orden λ.Abstract
In this paper a study of properties of the Mitsch order relation ’µ’ on a regular semigroup and Nambooripads order ’ν’ 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.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).
[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).
Published
2017-05-02
How to Cite
[1]
K. V. R. Srinivas, “Characterization of Lallement order on a regular semigroup”, Proyecciones (Antofagasta, On line), vol. 27, no. 2, pp. 145-153, May 2017.
Issue
Section
Artículos
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
