Extension and contraction of I to D^-1R

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Discussion Overview

The discussion revolves around the notation for the extension and contraction of ideals as defined in Dummit and Foote, specifically focusing on the LaTeX representation of these symbols.

Discussion Character

  • Technical explanation

Main Points Raised

  • Peter seeks assistance with LaTeX for the notation of extension and contraction of ideals, specifically $$^eI$$ and $$^cI$$.
  • Some participants provide the LaTeX codes for the symbols, confirming the correct representation.
  • A participant mentions that using an "empty character" before a superscript or subscript can improve alignment in LaTeX.
  • Another participant suggests checking StackExchange for additional options to fine-tune spacing in LaTeX.

Areas of Agreement / Disagreement

Participants generally agree on the LaTeX codes provided, but there are additional suggestions regarding formatting that may vary in preference.

Contextual Notes

There are no explicit limitations noted, but the discussion is focused on LaTeX formatting rather than the mathematical concepts themselves.

Who May Find This Useful

This discussion may be useful for individuals looking to format mathematical notation in LaTeX, particularly in the context of ideals in algebra.

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At the bottom of page 708 in Dummit and Foote (Chapter 15, Section 15.4 Localization) we find the definition of the extension and contraction of ideals.

The notation is similar to $$ I^e $$ and $$ I^c $$ except that the superscripts e and c occur before the I.

Can someone please help me with the latex for these symbols?

Peter
 
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Use the codes:

^eI to get: $$^eI$$

^cI to get: $$^cI$$
 
MarkFL said:
Use the codes:

^eI to get: $$^eI$$

^cI to get: $$^cI$$
Thanks Mark

Appreciate the help.

Peter
 
See also StackExchange for some options that fine-tune the spacing.
 
One thing I've noticed in latex is that if you put an "empty character" (using {}) before a preceding superscript/subscript, it seems to give better alignment with other similarly tagged symbols.
 

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