(resp. ) for all and
The name “ideal” comes from the study of number theory. When the failure of unique factorization in number fields was first noticed, one of the solutions was to work with so-called “ideal numbers” in which unique factorization did hold. These “ideal numbers” were in fact ideals, and in Dedekind domains, unique factorization of ideals does indeed hold. The term “ideal number” is no longer used; the term “ideal” has replaced and generalized it.
|Date of creation||2013-03-22 11:49:27|
|Last modified on||2013-03-22 11:49:27|
|Last modified by||djao (24)|