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Endomorphism monoids of acts are wreath products of monoids with small categories

Part of the Lecture Notes in Mathematics book series (LNM,volume 1320)

Keywords

  • Semigroup Forum
  • Wreath Product
  • Zero Element
  • Small Category
  • Free Object

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References

  1. Fleischer, V.G., On the wreath product of monoids with categories, Izv. AN ESSR, to appear (in Russian).

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  2. Fleischer, V.G., Definability of free acts by their endomorphism semigroups, Uch. Zap. Tartusk. Univ., 366(1975), 27–41 (in Russian).

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  3. Knauer, U., Projectivity of acts and Morita equivalence of monoids, Semigroup Forum, 3(1972), 359–370.

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  4. Knauer, U., Column Monomic Matrix Monoids, Math. Nachr., 74(1976), 135–141.

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  5. Knauer, U., Mikhalev, A., Endomorphism monoids of free acts and O-wreath products of monoids. I. Annihilator Properties, Semigroup Forum, 19(1980), 177–187.

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  6. Knauer, U., Mikhalev, A., Endomorphism monoids of free acts and O-wreath products of monoids. II. Regularity, Semigroup Forum 19(1980), 189–198.

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  7. Skornjakov, L.A., Regularity of the wreath product of monoids, Semigroup Forum, 18(1979), 83–86.

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  8. Skornjakov, L.A., On the wreath product of monoids, Universal algebra and applications, Banach Center Publ., 9(1982), 181–185.

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© 1988 Springer-Verlag

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Fleischer, V., Knauer, U. (1988). Endomorphism monoids of acts are wreath products of monoids with small categories. In: Jürgensen, H., Lallement, G., Weinert, H.J. (eds) Semigroups Theory and Applications. Lecture Notes in Mathematics, vol 1320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083423

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  • DOI: https://doi.org/10.1007/BFb0083423

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19347-0

  • Online ISBN: 978-3-540-39225-5

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