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Preprint Number 2232
2232. Shezad Mohamed The Weil descent functor in the category of algebras with free
operators E-mail: Submission date: 19 August 2022 Abstract: We prove that there exists a version of Weil descent, or Weil restriction, in the category of D-algebras. The objects of this category are k-algebras R equipped with a homomorphism e : → R ⊗_k D for some fixed field k and finite-dimensional k-algebra D. We do this under a mild assumption on the so-called associated endomorphisms. In particular, this yields the existence of the Weil descent functor in the category of difference algebras, which, to our knowledge, does not appear elsewhere. Mathematics Subject Classification: 12H05, 12H10, 14A99 Keywords and phrases: Weil descent, left adjoints, differential algebra, difference algebra, fields with operators |

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