Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Finite extensions of local fields
open-in-new
<p>In <a href="/facts/Algebraic_number_theory/LPzDT5CA">algebraic number theory</a>, through completion, the study of ramification of a <a href="/facts/Prime_ideal/pmrGf6DA">prime ideal</a> can often be reduced to the case of <a href="/facts/Local_field/vqIgPIX3">local fields</a> where a more detailed analysis can be carried out with the aid of tools such as <a href="/facts/Ramification_group/UHXcYyGh">ramification groups</a>. </p><p>In this article, a local field is non-archimedean and has finite <a href="/facts/Residue_field/e6nflEmB">residue field</a>. </p>