ring extension (changes) in nLab

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Contents

Idea

The analog of group extensions for rings, classified by an analog of Schreier theory.

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Properties

Everett’s theorem

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• infinitesimal extension

  infinitesimal extension

• Frobenius extension

References

A classical textbook account is in paragraphs 52-54 of

• Rédei, Algebra (1954) (web).

A more modern account is in

• M. Petrich, Ideal extensions of rings, Acta Mathematica Hungaria, volume 45, numbers 3-4 (1985)

See also

• Zachary Mesyan, The ideals of an ideal extension (arXiv:0909.0440)