1. MODEL THEORY OF FIELDS WITH FREE OPERATORS IN POSITIVE CHARACTERISTIC.
- Author
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BEYARSLAN, ÖZLEM, HOFFMANN, DANIEL MAX, KAMENSKY, MOSHE, and KOWALSKI, PIOTR
- Subjects
- *
POSITIVE operators , *TENSOR products , *MODEL theory , *HOMOMORPHISMS , *TENSOR fields , *COMMUTATIVE algebra - Abstract
We give algebraic conditions for a finite commutative algebra B over a field of positive characteristic, which are equivalent to the companionability of the theory of fields with "B-operators" (i.e., the operators coming from homomorphisms into tensor products with B). We show that, in the most interesting case of a local B, these model companions admit quantifier elimination in the "smallest possible" language, and they are strictly stable. We also describe the forking relation there. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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