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Weierstrass ring

From Wikipedia, the free encyclopedia

In mathematics, a Weierstrass ring, named by Nagata[1] 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

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References

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  1. ^ Nagata (1975, section 45)

Bibliography

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  • Danilov, V. I. (2001) [1994], "Weierstrass ring", Encyclopedia of Mathematics, EMS Press
  • Nagata, Masayoshi (1975) [1962], Local rings, Interscience Tracts in Pure and Applied Mathematics, vol. 13, Interscience Publishers, pp. xiii+234, ISBN 978-0-88275-228-0, MR 0155856