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Rings and Fields in SageMath

asked 2023-02-08 12:37:52 +0100

Cyrille gravatar image

Due to my initial formation, I have some difficulties with the numerous rings or fields used in Sagemath. I do not find a clear explanation and enumeration. Of course my problem is not with the standard rings (ZZ, RR, CC...) but all the other like QQbar(field of algebraic numbers), AA (the field of algebraic reals)...

My question is not a mathematical question but is correlated to SageMath

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answered 2023-02-08 13:07:10 +0100

Emmanuel Charpentier gravatar image

updated 2023-02-08 13:08:57 +0100

When in doubt, use the reference manual (your local version can be displayed in your Browser by typing manual(), and is also one of the items of the Help tab of Jupyter notebook).

For example, searching for QQbar (the Search dialog is right under the Sage logo at the top left of the manual page), gives you a (long) sequence of occurrences of the "QQbar" string in Sage documentation. The first item points to the documentation you are searching.

It might be useful to search for the "canonical" name of a ring/field rather than its "nickname" of more common use ; for example, searching for AlgebraicRealField leads you directly to its documentation, whereas searching for AA gives you a really long list of matches...

HTH,

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answered 2023-02-08 12:49:53 +0100

Max Alekseyev gravatar image
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Asked: 2023-02-08 12:37:52 +0100

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Last updated: Feb 08 '23