Aleph–zero categorical Stone algebras-Reference-Cited by-同舟云学术

Aleph–zero categorical Stone algebras

Published:1978-11 Issue:3 Volume:26 Page:337-347
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Olin Philip

Abstract

AbstractThis paper is a contribution to the problem of characterizing the ℵ0-categorical Stone algebras. If the dense set is either finite or a chain, the problem is solved by reducing it to the ℵ0-categoricity of the skeleton and the dense set, solutions for these being known. If the dense set is a Boolean algebra, we show that this type of reduction works for certain subclasses but not for all such algebras. For generalized Post algebras the characterization problem is solved completely.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

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2. Boolean powers

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1. No Categorical Partially Ordered Sets;Orders: Description and Roles - In Set Theory, Lattices, Ordered Groups, Topology, Theory of Models and Relations, Combinatorics, Effectiveness, Social Sciences, Proceedings of the Conference on Ordered Sets and their Application Château dc la Tourcttc; Ordres: Description et Rôles - En Théorie des Treillis, des Groupes Ordonnés; en Topologie, Théorie des Modèles et des Relations, Cornbinatoire, Effectivité, Sciences Sociales, Actes de la Conférence sur ies Ensembles Ordonnés et leur Applications Château de la Tourette;1984

2. ℵ₀-categorical distributive lattices of finite breadth;Proceedings of the American Mathematical Society;1983