The Semiring of 1-preserving Endomorphisms of a Semilattice
نویسنده
چکیده
We prove that the semirings of 1-preserving and of 0,1preserving 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.
منابع مشابه
The Endomorphism Semiring of a Semilattice
We prove that the endomorphism semiring of a nontrivial semilattice is always subdirectly irreducible and describe its monolith. The endomorphism semiring is congruence simple if and only if the semilattice has both a least and a largest element.
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تاریخ انتشار 2011