On the Jacobian criterion of formal smoothness.
We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.
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On the rings of formal solutions of polynomial differential equations
Maria-Angeles Zurro (1998)
Banach Center Publications
The paper establishes the basic algebraic theory for the Gevrey rings. We prove the Hensel lemma, the Artin approximation theorem and the Weierstrass-Hironaka division theorem for them. We introduce a family of norms and we look at them as a family of analytic functions defined on some semialgebraic sets. This allows us to study the analytic and algebraic properties of this rings.
On the Structure of a Certain Class of Locally Compact Rings.
Audun Ofsti (1966)
Mathematica Scandinavica
On the Weierstrass division.
Łojasiewicz, Stanisław, Maszczyk, Tomasz, Rusek, Kamil (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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