The semiring of 1-preserving endomorphisms of a semilattice
Jaroslav Ježek, Tomáš Kepka · Czechoslovak Mathematical Journal · 2009
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.