ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Thu, 11 Feb 2016 15:53:14 +0100To check whether a given ideal of an order is principal or nothttps://ask.sagemath.org/question/32527/to-check-whether-a-given-ideal-of-an-order-is-principal-or-not/ Suppose $\theta$ is a root of a irreducible monic polynomial $f$ of degree $n$. (In practice, I would like to deal with $n=3$ case.) Then, define the ideal class group of $\mathbb{Z}[\theta]$, $C(\mathbb{Z}[\theta])$ by the set of invertible fractional ideals modulo principal ideals.
Given a polynomial $f$ and a fractional ideal $I$ of $\mathbb{Z}[\theta]$, is there any way to decide I is principal or not? user2893829Thu, 11 Feb 2016 15:53:14 +0100https://ask.sagemath.org/question/32527/