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Algebra in superextensions of semilattices

Given a semilattice X we study the algebraic properties of the semigroup υ(X) of upfamilies on X. The semigroup υ(X) contains the Stone-ˇCech extension β(X), the superextension λ(X), and the space of filters φ(X) on X as closed subsemigroups. We prove that υ(X) is a semilattice iff λ(X) is a semilat...

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Bibliographic Details
Main Authors: Banakh, T., Gavrylkiv, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152184
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