1. The semiring of 1-preserving endomorphisms of a semilattice Creator: Ježek, Jaroslav and Kepka, Tomáš Format: bez média and svazek Type: model:article and TEXT Subject: semilattice, semiring, subdirectly irreducible, and simple Language: English Description: 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. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public