Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings
classification
🧮 math.CA
keywords
functionsgermslocalpreparationquasianalyticringstheoremweierstrass
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Consider quasianalytic local rings of germs of smooth functions closed under composition, implicit equation, and monomial division. We show that if the Weierstrass Preparation Theorem holds in such a ring then all elements of it are germs of analytic functions. .
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