Characterization of Lallement order on a regular semigroup

• Srinivas, K. V. R. ^[1]
  1. [1] Regency Institute of Technology.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 2, 2008, págs. 145-153
• Idioma: inglés
• DOI: 10.4067/S0716-09172008000200002
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• Resumen

  • 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.

• Referencias bibliográficas
  • Citas [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,...