Weierstrass ring

In mathematics, a Weierstrass ring, named by Nagata (1962, section 45) after Karl Weierstrass, is a commutative local ring that is Henselian, pseudo-geometric, and such that any quotient ring by a prime ideal is a finite extension of a regular local ring.

Examples

References

  • Danilov, V. I. (2001) [1994], "Weierstrass ring", Encyclopedia of Mathematics, EMS Press
  • M. Nagata, "Local rings", Interscience (1962)


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