Free ω-complete algebras |
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Authors: | Grzegorz Jarzembski |
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Affiliation: | (1) Nicholas Copemicus University, Toruń, Poland |
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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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