Abhyankar's inequality
id:
abhyankar-s-inequality-215-921018
title:
Abhyankar's inequality
text:
Abhyankar's inequality is an inequality involving extensions of valued fields in algebra, introduced by Abhyankar (1956). 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 A is defined as dim Q .
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Abhyankar%27s_inequality
date created:
2012-03-07T23:54:02Z
date modified:
2024-09-12T18:50:20Z
main entity:
{"identifier":"Q4667495","url":"https://www.wikidata.org/entity/Q4667495"}
image:
fields total:
13
integrity:
14