A precedence theorem for semigroups

• Autores: Pierre Antoine Grillet
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 46, Fasc. 1-2, 1995 (Ejemplar dedicado a: Professor Paul Dubreil (In memoriam )), págs. 77-82
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In a finite semigroup, the least element under a precedence order is an idempotent in the kernel.

• Referencias bibliográficas
  • P. A. Grillet, Commutative semigroups of order 9, to appear.
  • T. E. Hall, On the natural ordering of $\mathcal{D}$-classes and of idempotents in a regular semigroup, Glasgow Math. J. 11 (1970), 167–168.
  • H. Jürgensen, Annotated tables of semigroups of orders 2 to 6, Report 231, Dept. of Computer Sci., Univ. Western Ontario, 1990.
  • G. Lallement, Semigroups and combinatorial applications, Wiley, New York 1979.