Loomis–Sikorski representation of monotone σ -complete effect algebras

We show that monotone σ -complete effect algebras with the Riesz decomposition property are σ -homomorphic images of effect-tribes with the Riesz decomposition property, which are effect algebras of fuzzy sets closed under pointwise limits of nondecreasing fuzzy sets.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Fuzzy sets and systems 2006-03, Vol.157 (5), p.683-690
Hauptverfasser:	Buhagiar, David, Chetcuti, Emmanuel, Dvurečenskij, Anatolij
Format:	Artikel
Sprache:	eng
Schlagworte:	Affine function Algebraic logic Baire space Combinatorics. Ordered structures Effect algebra Effect-tribe Exact sciences and technology Extremal state General logic Logic and foundations Loomis–Sikorski theorem Mathematical logic, foundations, set theory Mathematics Monotone [formula omitted]-completeness Order, lattices, ordered algebraic structures Riesz decomposition property Sciences and techniques of general use State Unital po-group
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We show that monotone σ -complete effect algebras with the Riesz decomposition property are σ -homomorphic images of effect-tribes with the Riesz decomposition property, which are effect algebras of fuzzy sets closed under pointwise limits of nondecreasing fuzzy sets.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/j.fss.2005.09.013