nLab Cohen-Macaulay ring

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Contents

Context

Algebra

higher algebra

universal algebra

Algebraic theories

Algebras and modules

Higher algebras

Model category presentations

Geometry on formal duals of algebras

Theorems

Contents

Idea

Cohen-Macaulay rings are an important class of commutative rings.

Definition

A commutative ring is Cohen-Macaulay iff it is a Cohen-Macaulay module as a module on itself.

References

  • Wikipedia, Cohen-Macaulay ring
  • Winfried Bruns, Jürgen Herzog, Cohen-Macaulay Rings, Cambridge University Press (1993)
  • Ch. 18 of David Eisenbud, Commutative algebra with a view toward algebraic geometry, Graduate Texts in Mathematics 150
category: algebra

Last revised on July 10, 2023 at 07:23:26. See the history of this page for a list of all contributions to it.

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