Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

SOME REMARKS ON S-SYSTEMS AND RADICAL ASSOCIATED WITH A SEMIGROUP S

  • Published : 2002.12.01

⟨ Previous Next ⟩

Abstract

We shall give a gereralization for a new right congruence induced by right congruences on S and right ideals of S and discuss the radicals associated with automata. Also we shall discuss the relationship between the collection of all right ideals in S and the collection of all right congruences on S.

Keywords

References

  1. diese Nachr v.26 Zur Strukturtheorie der Halbgruppen H.J.Hoehnke
  2. Canad. J. Math. v.18 Structure of semigroups H.J.Hohenke
  3. Ph.D. thesis, University of Iowa semigroups satisfying ring-like conditions W.J.Jones
  4. J. ACM v.10 On the structure of an automation and its input semigroup R.H.Oehmke
  5. Trans. AMS v.125 On maximal congruences and finite semisimple semigroups R.H.Oehmke
  6. Math. Nachr. v.29 Uber das Rodical evner Halbgruppe H.Seidel
  7. Comm. Korean Math. Soc. v.8 no.3 Some remarks on the automata- homomorphism C.H.Park
  8. Korean J. Comput. and Appl. Math. v.6 no.1 Some remarks on the structure of free automata C.H.Park