✦ LIBER ✦
The class of infinite dimensional neat reducts of quasi-polyadic algebras is not axiomatizable
✍ Scribed by Tarek Sayed Ahmed
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 135 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
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 ω ≤ α < β and let K ∈ {SC, CA, QA, QEA}. We show that the class of α-dimensional neat reducts of algebras in K β is not elementary. This solves a problem in [3]. Also our result generalizes results proved in [2] and [3].