nLab Cohen-Macaulay ring

Contents

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
  • Cohen-Macaulay Rings, Winfried Bruns, Jürgen Herzog, Cambridge University Press (1993)

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