Notes on structure of complete discrete valuation rings.

Grysztar, Tomasz

Displaying similar documents to “Notes on structure of complete discrete valuation rings.”

On the rings of formal solutions of polynomial differential equations

Maria-Angeles Zurro (1998)

Banach Center Publications

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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 Weierstrass division.

Łojasiewicz, Stanisław, Maszczyk, Tomasz, Rusek, Kamil (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Inner Products, Group, Ring of Quaternion Numbers

Fuguo Ge (2008)

Formalized Mathematics

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In this article, we define the division of the quaternion numbers, we also give the definition of inner products, group, ring of the quaternion numbers, and we prove some of their properties.MML identifier: QUATERN2, version: 7.8.10 4.100.1011