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Free ω-complete algebras
Authors:Grzegorz Jarzembski
Affiliation:(1) Nicholas Copemicus University, Toruń, Poland
Abstract:In this paper we prove that for an arbitrary type Ω and an arbitrary strict ω-complete posetX the free ω-complete algebra of type Ω overX exists. Moreover, we prove, that for an arbitrary type (not necessary finitary!) this free algebra is, obtained by Adamek's construction in ω steps.
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