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Hyperarithmetical Boolean Algebras with a Distinguished Ideal

✍ Scribed by P. E. Alaev

Book ID
111611664
Publisher
SP MAIK Nauka/Interperiodica
Year
2004
Tongue
English
Weight
227 KB
Volume
45
Category
Article
ISSN
0037-4466

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πŸ“œ SIMILAR VOLUMES

Countably-categorical Boolean algebras w
Countably-categorical Boolean algebras with distinguished ideals
✍ D. E. Pal'chunov πŸ“‚ Article πŸ“… 1987 πŸ› Springer Netherlands 🌐 English βš– 882 KB

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

Some Boolean Algebras with Finitely Many
Some Boolean Algebras with Finitely Many Distinguished Ideals I
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## 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

Some Boolean algebras with finitely many
Some Boolean algebras with finitely many distinguished ideals II
✍ Regina AragΓ³n πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 291 KB

## 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