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Characterization of monoids by properties of finitely generated right acts and their right ideals

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Recent Developments in the Algebraic, Analytical, and Topological Theory of Semigroups

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

Abstract

There exist quite a few papers describing monoids by different properties of their categories of right (left) acts or subclasses there of (often called homological classifications of monoids). Especially the properties of being torsion free, flat, projective, and free have been used for homological classifications in different combinations by Skornjakov [10], Dorefeeva [2], Kilp [6,7], Fountain

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References

  1. Clifford, A.H., G.B. Preston, The algebraic theory of semigroups, I, II, Amer. Math. Soc., Providence (1961), (1967).

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Authors and Affiliations

  1. FB 6 Mathematik Universität, D 2900, Oldenburg

    Ulrich Knauer

Authors
  1. Ulrich Knauer
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Karl Heinrich Hofmann Helmut Jürgensen Hanns Joachim Weinert

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© 1983 Springer-Verlag

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Knauer, U. (1983). Characterization of monoids by properties of finitely generated right acts and their right ideals. 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/BFb0062038

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  • DOI: https://doi.org/10.1007/BFb0062038

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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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