## MSC (2010) Primary: 03G15 Using games, as introduced by Hirsch and Hodkinson in algebraic logic, we give a recursive axiomatization of the class RQPEA Ξ± of representable quasi-polyadic equality algebras of any dimension Ξ±. Following Sain and Thompson in modifying AndrΓ©ka's methods of splitting,
The class of polyadic algebras has the super amalgamation property
β Scribed by Tarek Sayed Ahmed
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 144 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We show that for infinite ordinals Ξ± the class of polyadic algebras of dimension Ξ± has the super amalgamation property (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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
We describe the upper and lower Lie nilpotency index of a modular group algebra β«ήβ¬G of some metabelian group G and apply these results to determine the nilpotency class of the group of units, extending certain results of Shalev without restriction to finite groups. A characterization of modular gro