Model theory of fields with free operators in positive characteristic

Özlem Beyarslan, Daniel Max Hoffmann, Moshe Kamensky, Piotr Kowalski

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish
Pages (from-to)5991-6016
Number of pages26
JournalTransactions of the American Mathematical Society
Issue number8
StatePublished - 15 Oct 2019


  • Derivations in positive characteristic
  • Model companion
  • Operator

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics


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