## 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
✦ LIBER ✦
Finitary Polyadic Algebras from Cylindric Algebras
✍ Scribed by Miklós Ferenczi
- Publisher
- Springer Netherlands
- Year
- 2007
- Tongue
- English
- Weight
- 211 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0039-3215
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An algebra is called finitary if it consists of finite-rank transformations of a vector space. We classify finitary simple and finitary irreducible Lie algebras over an algebraically closed field of characteristic = 2, 3.