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On Boolean Algebras and their Recursive Completions

✍ Scribed by E. W. Madison


Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
310 KB
Volume
31
Category
Article
ISSN
0044-3050

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πŸ“œ SIMILAR VOLUMES


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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

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Lct 1 be an infinite cardinal and let A , B be Boolean algebras. A homomorphism h: , 4 4 B is said to be A-cmpkte if whenever X is a subset of A of cardinality I such that the join V X of X exists in A , then V h[X] exists in B and is equal to h(V X ) . If x is an infinite cardinal, B is said to be

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✍ David S. Gunderson; VojtΔ›ch RΓΆdl; Alexander Sidorenko πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 209 KB

Three classes of finite structures are related by extremal properties: complete d-partite d-uniform hypergraphs, d-dimensional affine cubes of integers, and families of 2 d sets forming a d-dimensional Boolean algebra. We review extremal results for each of these classes and derive new ones for Bool