Tree constructions of free continuous algebras
1982; Elsevier BV; Volume: 24; Issue: 1 Linguagem: Inglês
10.1016/0022-0000(82)90059-9
ISSN1090-2724
AutoresJiřı́ Adámek, Evelyn Nelson, Jan Reiterman,
Tópico(s)Logic, programming, and type systems
ResumoContinuous algebras are algebras endowed with a partial order which is complete with respect to specified joins and such that the operations preserve these specified joins. We prove the existence of free continuous algebras by actually giving a concrete description of them in terms of trees, for any type of algebras and any choice of the “specified” joins.
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