Exact Sequences - functions on longright arrows

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SUMMARY

This discussion focuses on the use of LaTeX for typesetting functions on long right arrows in exact sequences. The user, Peter, seeks assistance with notation similar to that found in Section 10.5 of "Abstract Algebra" by David S. Dummit and Richard M. Foote. Key commands discussed include \stackrel, \xrightarrow, and \overset, with the latter requiring the amsmath package for broader application. The community provides helpful insights and examples for implementing these commands effectively.

PREREQUISITES
  • Familiarity with LaTeX typesetting
  • Understanding of exact sequences in algebra
  • Knowledge of the amsmath package in LaTeX
  • Basic concepts of mathematical notation
NEXT STEPS
  • Explore the amsmath package documentation for advanced LaTeX commands
  • Learn about the use of \xrightarrow and \overset in mathematical typesetting
  • Review Section 10.5 of "Abstract Algebra" by Dummit and Foote for context on exact sequences
  • Experiment with LaTeX examples on typesetting functions and arrows
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Mathematicians, educators, and students involved in algebra who require precise typesetting of mathematical notation in LaTeX.

Math Amateur
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In exact sequences, a convenient notation is to have a function symbol like
png.latex
on a longrightarrow.

I have given an example of this in the attachment so it is clear what notation I am requesting help with - see attachment "Exact Sequences - Latex Question"

I have also provided an attachment showing the start of Section 10.5 (Exact Sequences) of Dummit and Foote where there are a number of examples of the terminology I am hoping to use in Latex encoded postings.

If someone can help me with this problem I would be most grateful

Peter

[This has also been posted on MHF]
 
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\stackrel{\psi}{\longrightarrow}: $\stackrel{\psi}{\longrightarrow}$
 
Thanks Opalg, most helpful

Opalg said:
\stackrel{\psi}{\longrightarrow}: $\stackrel{\psi}{\longrightarrow}$
 
Also, \xrightarrow[\text{below arrow}]{\text{above arrow}} gives $\xrightarrow[\text{below arrow}]{\text{above arrow}}$, and \overset{\psi}{\longrightarrow} gives $\overset{\psi}{\longrightarrow}$. The latter command is provided by the amsmath package, and, unlike \stackrel, can be used on ordinary symbols and binary operators and not only relations. See also https://driven2services.com/staging/mh/index.php?threads/433/.
 

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