Completion of factor algebras of ideals Academic Article uri icon

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abstract

  • Let I \mathfrak {I} be a κ \kappa -complete ideal over κ \kappa . The structure of the completion of the Boolean algebra ( κ ) / I \wp (\kappa )/\mathfrak {I} is investigated with respect to properties of the ideal I \mathfrak {I} and the cardinal κ \kappa . It is shown that under certain conditions Comp ( ( κ ) / I ) \operatorname {Comp}(\wp (\kappa )/\mathfrak {I}) is isomorphic to a collapse algebra.

publication date

  • January 1, 1987