Zariski ring

In commutative algebra, a Zariski ring is a commutative Noetherian topological ring A whose topology is defined by an ideal m contained in the Jacobson radical, the intersection of all maximal ideals. They were introduced by OscarZariski (1946) under the name "semi-local ring" which now means something different, and named "Zariski rings" by Samuel (1953). Examples of Zariski rings are noetherian local rings and $\mathfrak a$ -adic completions of noetherian rings.

单词	Zariski ring
释义	Zariski ring 英语百科 Zariski ring In commutative algebra, a Zariski ring is a commutative Noetherian topological ring A whose topology is defined by an ideal m contained in the Jacobson radical, the intersection of all maximal ideals. They were introduced by OscarZariski (1946) under the name "semi-local ring" which now means something different, and named "Zariski rings" by Samuel (1953). Examples of Zariski rings are noetherian local rings and $\mathfrak a$ -adic completions of noetherian rings.
随便看	height money height net height note height number height of height of a burst height of action potential height of addendum Height of a field height of a fuzzy set height of a heat transfer unit height of a mass transfer unit height of an effective plate Height of an ideal height of a person height of arc height of a tranfer unit height of a transfer unit height of a wave height of backwater height of baffle plate height of bed height of boom foot pin height of bubble cap height of building