ideals in a Dedekind domain

Let R be a Dedekind domainMathworldPlanetmath, and let 𝔞 and 𝔟 be ideals of R. Then there is an element ω and an ideal 𝔠 of R such that




This result was proved by Steinitz in 1911.

Title ideals in a Dedekind domain
Canonical name IdealsInADedekindDomain
Date of creation 2013-03-22 12:49:50
Last modified on 2013-03-22 12:49:50
Owner yark (2760)
Last modified by yark (2760)
Numerical id 9
Author yark (2760)
Entry type Theorem
Classification msc 11R37
Classification msc 11R04
Related topic DivisorAsFactorOfPrincipalDivisor
Related topic FundamentalTheoremOfIdealTheory