Homomorphisms of local algebras in positive characteristic

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

We investigate some properties of regularity of homomorphisms of local
algebras over positive characteristic fields. We state a result of
monomialization of such a homomorphism between algebras of analytic or
algebraic power series. From this we deduce some extensions in positive
characteristic of results due to S. Izumi and A. Gabrielov.

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