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- W33539964 abstract "Publisher Summary This chapter describes a left meet semilattice act over R , which is also called a left inf- R -act. Every complete meet semilattice is a left meet semilattice act over the monoid of its inf-preserving transformations into itself, written on the left. It is natural to call a left semilattice act L over a monoid R realizable if there are a universal algebra A , an isomorphism ρ of the monoid R onto End A , and an isomorphism ω of the complete meet semilattice L onto the lattice ConA, such that ω ( λa ) = ρ ( λ ) ω ( a ) for all λ∈R and a∈L. The chapter presents a theorem that states that a left inf- R -act L , which is a two element chain, is realizable if and only if every element of the monoid R is either right cancellable or a right zero." @default.
- W33539964 created "2016-06-24" @default.
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- W33539964 date "1986-01-01" @default.
- W33539964 modified "2023-09-24" @default.
- W33539964 title "THE CONGRUENCE LATTICE AS AN ACT OVER THE ENDOMORPHISM MONOID" @default.
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- W33539964 doi "https://doi.org/10.1016/b978-0-444-87759-8.50032-8" @default.
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