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Substitution algebras in their relation to cylindric algebras

✍ Scribed by Preller, Anne


Publisher
Springer-Verlag
Year
1970
Weight
297 KB
Volume
13
Category
Article
ISSN
0003-9268

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πŸ“œ SIMILAR VOLUMES


Relation algebras from cylindric algebra
✍ Robin Hirsch; Ian Hodkinson πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 338 KB

We characterise the class SRaCAn of subalgebras of relation algebra reducts of n-dimensional cylindric algebras (for ΓΏnite nΒΏ5) by the notion of a 'hyperbasis', analogous to the cylindric basis of Maddux, and by relativised representations. We outline a game-theoretic approximation to the existence

A note on substitutions in representable
✍ Tarek Sayed Ahmed πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 121 KB πŸ‘ 1 views

## Abstract We show that it is impossible to define a substitution operator for arbitrary representable cylindric algebras that agrees in its basic properties with the notion of substitutions introduced for dimension complemented algebras (Β© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)