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The semiring of 1-preserving endomorphisms of a semilattice

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Abstract

We prove that the semirings of 1-preserving and of 0,1-preserving endomorphisms of a semilattice are always subdirectly irreducible and we investigate under which conditions they are simple. Subsemirings are also investigated in a similar way.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Mathematical Institute, Charles University in Prague, Sokolovská 83, 186 75, Prague 8, Czech Republic

    Jaroslav Ježek & Tomáš Kepka

Authors
  1. Jaroslav Ježek
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  2. Tomáš Kepka
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Corresponding author

Correspondence to Jaroslav Ježek.

Additional information

The work is a part of the research project MSM0021620839 financed by MSMT.

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Ježek, J., Kepka, T. The semiring of 1-preserving endomorphisms of a semilattice. Czech Math J 59, 999–1003 (2009). https://doi.org/10.1007/s10587-009-0069-4

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  • DOI: https://doi.org/10.1007/s10587-009-0069-4

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