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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     author = {Je\v{z}ek, Jaroslav and Kepka, Tom\'a\v{s}},
     title = {The semiring of 1-preserving endomorphisms of a semilattice},
     journal = {Czechoslovak Mathematical Journal},
     pages = {999--1003},
     year = {2009},
     volume = {59},
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     mrnumber = {2563572},
     zbl = {1224.06007},
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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/