We show that the representability of cylindric algebras by relativized set algebras depends on the scope of the operation transposition which can be defined on the algebra. The existence of "partial transposition" assures this kind of representability of the cylindric algebra (while the existence of
A note on substitutions in representable cylindric algebras
β Scribed by Tarek Sayed Ahmed
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 121 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
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 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
A NOTE ON SIMPLE GRAPHIC ALGEBRAS by JUHANT NIEMTNEN in Helsinki (Finland) 111 troduction Several authors have studied the structure of algebras with a ternary operation called median operation, scc e.g. [I], [2], [3], [4], and [7]. Most of the authors have concentrated on the lattice and tree struc
Necessary and sufficient conditions for all the derivations of a finite dimensional simple nonassociative algebra, over a field of characteristic zero, to be inner are given in terms of the Lie multiplication algebra and the trace of the derivations. 1994 Academic Press, Inc.