A simple construction for rigid and weakly homogeneous Boolean algebras answering a question of Rubin-Reference-Cited by-同舟云学术

A simple construction for rigid and weakly homogeneous Boolean algebras answering a question of Rubin

Published:1983 Issue:4 Volume:87 Page:601-606
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brenner Gary

Abstract

We introduce a method for constructing Boolean algebras from trees which preserves some of the trees’ properties. The method is used to produce a very simple construction for rigid Boolean algebras and to construct a weakly homogeneous Boolean algebra without homogeneous factors.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-087-04/S0002-9939-1983-0687625-3/S0002-9939-1983-0687625-3.pdf

Reference7 articles.

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4. Some questions about Boolean algebras;van Douwen, Eric K.;Algebra Universalis,1980

5. S. Koppelberg, A lattice structure on the isomorphism types of complete Boolean algebras, Set Theory and Model Theory, Proceedings, Bonn 1979, vol, 872, Springer-Verlag, Berlin and New York, 1981, pp. 98-126.

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