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On amalgamation of reducts of polyadic algebras

✍ Scribed by Tarek Sayed Ahmed

Publisher
Springer
Year
2004
Tongue
English
Weight
617 KB
Volume
51
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES

The class of polyadic algebras has the s
The class of polyadic algebras has the super amalgamation property
✍ Tarek Sayed Ahmed πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 144 KB πŸ‘ 1 views

## Abstract We show that for infinite ordinals __Ξ±__ the class of polyadic algebras of dimension __Ξ±__ has the super amalgamation property (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

The class of infinite dimensional neat r
The class of infinite dimensional neat reducts of quasi-polyadic algebras is not axiomatizable
✍ Tarek Sayed Ahmed πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 135 KB πŸ‘ 1 views

SC, CA, QA and QEA denote the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasi-polyadic algebras and quasi-polyadic equality algebras, respectively. Let Ο‰ ≀ Ξ± < Ξ² and let K ∈ {SC, CA, QA, QEA}. We show that the class of Ξ±-dimensional neat reducts of algebras in K

Polyadic and cylindric algebras of sente
Polyadic and cylindric algebras of sentences
✍ Mohamed Amer; Tarek Sayed Ahmed πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 114 KB

## Abstract In this note we give an interpretation of cylindric algebras as algebras of sentences (rather than formulas) of first order logic. We show that the isomorphism types of such algebras of sentences coincide with the class of neat reducts of cylindric algebras. Also we show how this interp