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单词 Regular Local Ring
释义

Regular Local Ring

A regular local ring is a Local Ring with Maximal Ideal so that can be generated with exactly elements where is the Krull Dimension of the Ring . Equivalently, R is regular if the Vector Space has dimension .

See also Krull Dimension, Local Ring, Regular Ring, Ring


References

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


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