Completion of factor algebras of ideals Journal Articles

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.