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arxiv: math/0612214 · v2 · pith:WXOFDED7new · submitted 2006-12-08 · 🧮 math.AC · math.CV

Homomorphisms of local algebras in positive characteristic

classification 🧮 math.AC math.CV
keywords algebrascharacteristicpositivehomomorphismslocalsomealgebraicanalytic
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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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