# Talk:Different ideal

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Field:  Number theory

## Local versus global

I think that starting off with a global definition and then mentioning the local case is the wrong way round. The references to Weiss that I found are actually for the local case anyway. I will try to draft something. Deltahedron (talk) 06:31, 11 May 2012 (UTC)

I think I disagree. The global case is the most notable case and is, for the most part, the whole point. RobHar (talk) 13:27, 11 May 2012 (UTC)

## Bilinear form vs. quadratic form

The bilinear form corresponding to the quadratic form ${\displaystyle x\mapsto \operatorname {tr} ~x^{2}}$ is ${\displaystyle (x,y)\mapsto 2\operatorname {tr} (xy)}$. In the article ${\displaystyle (x,y)\mapsto \operatorname {tr} (xy)}$ is used. Should then the quadratic form be corrected to ${\displaystyle x\mapsto \operatorname {tr} (x^{2})/2}$? --Jobu0101 (talk) 13:46, 1 March 2017 (UTC)