Filtral powers of structures

Journal of Symbolic Logic 63 (4):1239-1254 (1998)
Among the results of this paper are the following: 1. Every Boolean (ultra) power is the union of an updirected elementary family of direct ultrapowers. 2. Under certain conditions, a finitely iterated Boolean ultrapower is isomorphic to a single Boolean ultrapower. 3. A ω-bounded filtral power is an elementary substructure of a filtral power. 4. Let K be an elementary class closed under updirected unions (e.g., if K is an amalgamation class); then K is closed under finite products if and only if K is closed under reduced products if and only if K is a Horn class
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2586649
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,798
Through your library
References found in this work BETA
The Theory of Boolean Ultrapowers.Richard Mansfield - 1971 - Annals of Mathematical Logic 2 (3):297-323.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
A Remark on Martin's Conjecture.Su Gao - 2001 - Journal of Symbolic Logic 66 (1):401-406.
Definable Sets in Boolean Ordered o-Minimal Structures. II.Roman Wencel - 2003 - Journal of Symbolic Logic 68 (1):35-51.
On the Complexity of the Theories of Weak Direct Powers.Charles Rackoff - 1976 - Journal of Symbolic Logic 41 (3):561-573.
Quasi-Modal Equivalence of Canonical Structures.Robert Goldblatt - 2001 - Journal of Symbolic Logic 66 (2):497-508.
Existentially Closed Algebras and Boolean Products.Herbert H. J. Riedel - 1988 - Journal of Symbolic Logic 53 (2):571-596.
A Hierarchy of Maps Between Compacta.Paul Bankston - 1999 - Journal of Symbolic Logic 64 (4):1628-1644.
Added to PP index

Total downloads
8 ( #506,154 of 2,202,424 )

Recent downloads (6 months)
2 ( #149,904 of 2,202,424 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature