Dedekind ring

A commutative unital ring RR is a Dedekind ring if it is

If RR is a Dedekind ring then every ideal can be uniquely factored into prime ideals and the non-zero fractional ideals form a group under multiplication of ideal?s.

  • Serge Lang, Algebraic number theory, GTM 110, Springer 1970, 2000

Created on July 25, 2011 at 22:08:50. See the history of this page for a list of all contributions to it.