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Realization theorems for semigroups with divisor theory

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References

  1. Chouinard L. G. II,Krull semigroups and divisor class groups, Canad. J. Math.33 (1981), 1459–1468.

    MATH  MathSciNet  Google Scholar 

  2. Clifford, A. H.,Arithmetic and ideal theory of commutative semigroups, Ann. of Math.39 (1938), 594–610.

    Article  MathSciNet  Google Scholar 

  3. Fossum, R. M.,The divisor class group of a Krull domain, Springer (1973).

  4. Fuchs, L.,Infinite abelian groups, Vol I, Academic Press (1970).

  5. Geroldinger, A.,Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z.197 (1988), 505–529.

    Article  MATH  MathSciNet  Google Scholar 

  6. Gilmer, R.,Commutative semigroup rings, The University of Chicago Press, Chicago and London (1984).

    MATH  Google Scholar 

  7. Gundlack, K. B.,Einführung in die Zahlentheorie, B. I. Hochschultaschenbücher Bd.772 (1972).

  8. Halter-Koch, F.,Halbgruppen mit Divisorentheorie, Expo. Math.8 (1990), 27–66.

    MATH  MathSciNet  Google Scholar 

  9. Halter-Koch, F.,Große Faktoren in der Klassengruppe algebraischer Zahlkörper, Acta Arith.39 (1981), 33–47.

    MATH  MathSciNet  Google Scholar 

  10. Jacobson, N.,Basic Algebra I, Freeman (1985).

  11. Karpilovsky, G.,Unit groups of classical rings. Clarendon Press, Oxford (1988).

    MATH  Google Scholar 

  12. Krause, U.,On monoids of finite real character, Proc. Amer. Math. Soc.105 (1989), 546–554.

    Article  MATH  MathSciNet  Google Scholar 

  13. Leedham-Green, C. R.,The class group of Dedekind domains, Trans. Amer. Math. Soc.163 (1972), 493–500.

    Article  MATH  MathSciNet  Google Scholar 

  14. Lettl, G.,Subsemigroups of finitely generated group with divisor theory, Mh. Math.106 (1988), 205–210.

    Article  MATH  MathSciNet  Google Scholar 

  15. Narkiewicz, W.,Finite abelian groups and factorization problems, Coll. Math.42 (1979), 319–330.

    MATH  MathSciNet  Google Scholar 

  16. Narkiewicz, W.,Elementary and analytic theory of algebraic numbers, Springer (1990).

  17. Narkiewicz, W.,Number Theory, World Scientific (1977).

  18. Skula, L.,Divisorentheorie einer Halbgruppe, Math. Z.114 (1970), 113–120.

    Article  MATH  MathSciNet  Google Scholar 

  19. Steinitz, E.,Algebraische Theorie der Körper, W. de Gruyter (1930).

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Authors and Affiliations

  1. Institut für Mathematik, Karl-Franzens-Universität, Heinrichstraße 36/IV, A-8010, Graz, Österreich

    Alfred Geroldinger & Franz Halter-Koch

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  1. Alfred Geroldinger
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  2. Franz Halter-Koch
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Communicated by L. Màrki

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Geroldinger, A., Halter-Koch, F. Realization theorems for semigroups with divisor theory. Semigroup Forum 44, 229–237 (1992). https://doi.org/10.1007/BF02574342

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  • DOI: https://doi.org/10.1007/BF02574342

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