Eventually Regular Regressive Generalized Transformation Semigroups

  • 투고 : 2003.09.16
  • 발행 : 2005.12.23

초록

Necessary and sufficient conditions have been provided for some standard regressive transformation semigroups on a poset to be eventually regular. Our main purpose is to generalize this result by characterizing when their generalized semigroups are eventually regular.

키워드

참고문헌

  1. SEA Bull. Math. v.26 Quasi-regular regressive transformation semigroups Kemprasit, Y.
  2. Semigroup Forum v.53 Remarks on isomorphisms of regressive transformation semigroups Saito, T.;Aoki, K.;Kajitori, K.
  3. Proc. Royal Soc. A. v.120 On the semigroups of order-decreasing finite full transformations Umar, A.
  4. Semigroup Forum v.53 Semigroups of order-decreasing transformations: The isomorphism theorem Umar, A.