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

Part of the Lecture Notes in Mathematics book series (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

Keywords

  • Left Ideal
  • Regular Semigroup
  • Semigroup Forum
  • Principal Ideal
  • Projective Cover

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

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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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