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Regular Local Ring


A regular local ring is a local ring R with maximal ideal m so that m can be generated with exactly d elements where d is the Krull dimension of the ring R. Equivalently, R is regular if the vector space m/m^2 has dimension d.


See also

Krull Dimension, Local Ring, Localization, Regular Ring, Ring

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References

Eisenbud, D. Commutative Algebra with a View Toward Algebraic Geometry. New York: Springer-Verlag, p. 242, 1995.

Referenced on Wolfram|Alpha

Regular Local Ring

Cite this as:

Weisstein, Eric W. "Regular Local Ring." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RegularLocalRing.html

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