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Keywords:
semilattice; semiring; subdirectly irreducible; simple
semilattice; semiring; subdirectly irreducible; simple
Summary:
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.
References:
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