A note on ultraproducts of complete boolean algebras
โ Scribed by Maria Contessa
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 49 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
I ) The second author's contribution to the paper comes out of his Ph. D. dissertation written 21' under the supervision of Prof. TAKEUTI to whom the author is grateful. Math. (2) 94 (1971), 201 -245.
The notion of a BooLEan algebra with operators was introduced by J~NSSON and TARSKI [ 5 ] . It encompasses as special cases relation algebras (TARSKI [9]), closure algebras (MCKINSEY-TARSKI [S]), cylindric algebras (HENRIN-TARSKI [4]), polyadic algebras (HALMOS [Z]), and other algebras which have be
We show that for every uncountable regular K and every K-complete Boolean algebra B of density 5 K there is a filter F B such that the number of partitions of length < K modulo F is 5 2'". We apply this to Boolean algebras of the form P ( X ) / I , where I is a n-complete K-dense ideal on X .