Английская Википедия:Abhyankar's inequality
Материал из Онлайн справочника
Abhyankar's inequality is an inequality involving extensions of valued fields in algebra, introduced by Шаблон:Harvs.
Abhyankar's inequality states that for an extension K/k of valued fields, the transcendence degree of K/k is at least the transcendence degree of the residue field extension plus the rank of the quotient of the valuation groups; here the rank of an abelian group <math>A</math> is defined as <math>\dim_{\mathbb{Q}}(A \otimes \mathbb{Q})</math>.
References
Шаблон:Commutative-algebra-stub
