In the paper all countable Boolean algebras with m distinguished ideals having countably-categorical elementary theory~ are described and constructed. From the obtained characterization it follows that ~11 eountably-eategorical elementary theories of Boolean algebras with distinguished ideals are f
Countably categorical and autostable Boolean algebras with distinguished ideals
β Scribed by P. E. Alaev
- Book ID
- 111500034
- Publisher
- Allerton Press, Inc.
- Year
- 2008
- Tongue
- English
- Weight
- 748 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1055-1344
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π SIMILAR VOLUMES
## Abstract We consider the theory Th~prin~ of Boolean algebras with a principal ideal, the theory Th~max~ of Boolean algebras with a maximal ideal, the theory Th~ac~ of atomic Boolean algebras with an ideal where the supremum of the ideal exists, and the theory Th~sa~ of atomless Boolean algebras
## Abstract We describe the countably saturated models and prime models (up to isomorphism) of the theory Th~prin~ of Boolean algebras with a principal ideal, the theory Th~max~ of Boolean algebras with a maximal ideal, the theory Th~ac~ of atomic Boolean algebras with an ideal such that the suprem