Advertisement

Semigroup Forum

, Volume 11, Issue 1, pp 337–362 | Cite as

On semigroups with maximal conditions

  • E. Hotzel
Research Article

Keywords

Maximal Subgroup Minimal Condition Left Ideal Finite Subset Maximal Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Budach, L.,Struktur Noetherscher kommutativer Halbgruppen, Monatsberichte Deutschen Akad. Wiss. Berlin 6 (1964), 85–88.MathSciNetMATHGoogle Scholar
  2. 2.
    Clifford, A. H., and G. B. Preston,The algebraic theory of semigroups, Math. Surveys No. 7, Amer. Math. Soc., Providence, R.I., Vol. I, 1961; Vol. II, 1967.Google Scholar
  3. 3.
    Drbohlav, K.,On finitely generated commutative semigroups, Comm. Math. Univ. Carolinae 4 (1963), 87–90.MathSciNetMATHGoogle Scholar
  4. 4.
    Eilenberg, S., and M. P. Schützenberger,Rational sets in commutative monoids, J. of Algebra 13 (1969), 173–191.MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Freyd, P.,Redei's finiteness theorem for commutative semigroups, Proc. Amer. Math. Soc. 19 (1968), 1003.MathSciNetMATHGoogle Scholar
  6. 6.
    Hoehnke, H.-J.,Homomorphism theories for universal algebras, Proc. Edinburgh Math. Soc. 16 (1968), 19–35.MathSciNetCrossRefMATHGoogle Scholar
  7. 7.
    Hotzel, E., On finiteness conditions in semigroups (not yet published)Google Scholar
  8. 8.
    Jacobson, N.,Structure of rings, Amer. Math. Soc. Coll. Publication's Vol. XXXVII, Providence, R.I., 1965.Google Scholar
  9. 9.
    König, D.,Theorie der endlichen und unendlichen Graphen, Leipzig, 1936 (reprinted by Chelsea Co., New York, 1950).Google Scholar
  10. 10.
    McAlister, D. B., and L. O'Carroll,Finitely generated commutative semigroups, Glasgow Math. J. 11 (1970), 134–151.MathSciNetCrossRefMATHGoogle Scholar
  11. 11.
    Munn, W. D.,Semigroups satisfying minimal conditions, Proc. Glasgow Math. Assoc. 3 (1957), 145 - 152.MathSciNetCrossRefMATHGoogle Scholar
  12. 12.
    Redei, L.,The theory of finitely generated commutative semigroups, Pergamon Press, Oxford, Edinburgh, New York, 1965.MATHGoogle Scholar
  13. 13.
    Schützenberger, M. P.,Sur des théorèmes de I.Simon (not yet published)Google Scholar
  14. 14.
    Utumi, Y.,A theorem of Levitzki, Amer. Math. Soc. Monthly 70 (1963), 286.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag New York Inc 1976

Authors and Affiliations

  • E. Hotzel
    • 1
  1. 1.Gesellschaft für Mathematik und Datenverarbeitung mbH BonnSt.Augustin 1Germany

Personalised recommendations