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Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings

by: Jean-Philippe Rolin, Adam Parusinski
(20 Mar 2013)  Key: citeulike:12190574

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Abstract

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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