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Torsion theories and semigroups of quotients

Part of the Lecture Notes in Mathematics book series (LNM,volume 998)

Keywords

  • Prime Ideal
  • Torsion Theory
  • Torsion Class
  • Commutative Monoid
  • Injective Hull

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.

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References

  1. Allouch, D., Filtre sur un monoide fini, Semigroup Forum 18 (1979), 27–32.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Berthiaume, P., The injective envelope of S-sets, Canad. Math. Bull. 10 (1971), 261–273.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Goldman, O., Rings and modules of quotients, J. Algebra 13 (1969), 10–47.

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  4. Hinkle, C. V., Generalized semigroups of quotients, Trans. A.M.S. 183 (1973), 87–117.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Hinkle, C. V., Semigroups of right quotients of a semigroup which is a semilattice of groups, J. Algebra 31 (1974), 276–286.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Hoehnke, H. J., Zur Definition der Begriffe Primkongruenz und Primakongruenz in kommutativen Halbgruppen, Monatberichte der Deutschen Akademie der Wissenschaften zu Berlin 6 (1964), 801–804.

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  7. Luedeman, John K., A generalization of the concept of a ring of quotients, Canad. Math. Bull. 14 (1971), 517–529.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. McMorris, F. R., The singular congruence and the maximal quotient semigroup, Canad. Math. Bull. 15 (1972), 301–303.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Weinert, H. J., S-sets and semigroups of quotients, Semigroup Forum 19 (1980), 1–79.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Weinert, H. J., On special right quotient filters of semigroups, Lecture Notes in Mathematics 855 (1981), Springer-Verlag.

    Google Scholar 

  11. Weinert, H. J., personal communication.

    Google Scholar 

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© 1983 Springer-Verlag

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Luedeman, J.K. (1983). Torsion theories and semigroups of quotients. In: Hofmann, K.H., Jürgensen, H., Weinert, H.J. (eds) Recent Developments in the Algebraic, Analytical, and Topological Theory of Semigroups. Lecture Notes in Mathematics, vol 998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062041

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  • DOI: https://doi.org/10.1007/BFb0062041

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12321-7

  • Online ISBN: 978-3-540-40051-6

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