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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Completion of factor algebras of ideals


Authors: B. Balcar and F. Franek
Journal: Proc. Amer. Math. Soc. 100 (1987), 205-212
MSC: Primary 06E05; Secondary 03E05, 03G05, 04A20
MathSciNet review: 884452
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Abstract: Let $ \mathfrak{I}$ be a $ \kappa $-complete ideal over $ \kappa $. The structure of the completion of the Boolean algebra $ \wp (\kappa)/\mathfrak{I}$ is investigated with respect to properties of the ideal $ \mathfrak{I}$ and the cardinal $ \kappa $. It is shown that under certain conditions $ \operatorname{Comp}(\wp (\kappa )/\mathfrak{I})$ is isomorphic to a collapse algebra.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0884452-2
PII: S 0002-9939(1987)0884452-2
Article copyright: © Copyright 1987 American Mathematical Society