## Abstract This is a supplement to the paper βFinitary Algebraic Logicβ [1]. It includes corrections for several errors and some additional results. MSC: 03G15, 03G25.
Finitary Algebraic Logic
β Scribed by Roger D. Maddux
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 713 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
An algebra is called finitary if it consists of finite-rank transformations of a vector space. We classify finitary simple Lie algebras over a field of characteristic 0. We also describe finitary irreducible Lie algebras.
Let F be an algebraically closed field of characteristic = 2, 3, W a F -vector space and The faithful irreducible L-modules are determined. It is shown that L has minimal ideals. If a minimal ideal S is infinite-dimensional then SW is a completely reducible L-module. Suppose L β© fgl(W ) = (0), W is
## Abstract A back and forth condition on interpretations for those secondβorder languages without functional variables whose nonβlogical vocabulary is finite and excludes functional constants is presented. It is shown that this condition is necessary and sufficient for the interpretations to be eq