Hensel's ring

A ring is called Hensel's ring (after K. Hensel ) with respect to a maximum ideal , if the statement of Hensel's lemma regarding the reduction is true. The most important example are evaluation rings for fully evaluated bodies . The maximum ideal in this case is the set of all elements with evaluation . ${\displaystyle A}$ ${\displaystyle {\mathfrak {m}}}$ ${\displaystyle k=A/{\mathfrak {m}}}$
${\displaystyle v(x)>0}$

literature

• VI Danilov: Hensel ring . In: Michiel Hazewinkel (Ed.): Encyclopaedia of Mathematics . Springer-Verlag , Berlin 2002, ISBN 978-1-55608-010-4 (English, online ).