Geodesic
The semiring of 1-preserving endomorphisms of a semilattice
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 999-1003 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 06A12, 16Y60
Keywords: semilattice; semiring; subdirectly irreducible; simple 
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Ježek, Jaroslav; Kepka, Tomáš. The semiring of 1-preserving endomorphisms of a semilattice. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 999-1003. http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a9/

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