The Class of Prime Semilattices is Not Finitely Axiomatizable
β Scribed by Keith A. Kearnes
- Book ID
- 105744344
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 101 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 β€ Ξ± < Ξ² and let K β {SC, CA, QA, QEA}. We show that the class of Ξ±-dimensional neat reducts of algebras in K
Given an arbitrary set A, one obtains the full Kleene algebra of binary relations over A by considering the operations of union, composition, re exive-transitive closure, conversion, and the empty set and the identity relation as constants. Such algebras generate the variety of Kleene algebras (with