1972
DOI: 10.1017/s0080454100008761
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XX.—A Coördinatisation of Lattices by One-sided Baer Assemblies

Abstract: SynopsisIn an earlier publication [1] we introduced the notion of a Baer assembly and applied it to obtain a coördinatisation theory for semilattices. This was achieved by considering the semigroup of quasi-residuated (i.e. ℴ-preserving and isotone) mappings on a bounded semilattice. In the present paper we consider the semigroup of quasi-residuated ∪-homomorphisms (or hemimorphisms) on a bounded lattice and thus show how a particular type of one-sided Baer assembly can be used to provide a coördinatisation th… Show more

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Cited by 6 publications
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