Completion of factor algebras of ideals

Balcar, B.; Franek, F.

doi:10.1090/S0002-9939-1987-0884452-2

Completion of factor algebras of ideals
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by B. Balcar and F. Franek

Proc. Amer. Math. Soc. 100 (1987), 205-212

DOI: https://doi.org/10.1090/S0002-9939-1987-0884452-2

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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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