Krull Dimension

If is a Ring (commutative with 1), the height of a Prime Ideal is defined as the Supremum ofall so that there is a chain where all are distinct PrimeIdeals. Then, the Krull dimension of is defined as the Supremum of all the heights of all itsPrime Ideals.

References

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

Macdonald, I. G. and Atiyah, M. F. Introduction to Commutative Algebra. Reading, MA: Addison-Wesley, 1969.

• Radius of Gyration
• Radius of Torsion
• Radius Vector
• Radix
• Radon-Nikodym Theorem
• Radon Transform
• Radon Transform--Cylinder
• Radon Transform--Delta Function
• Radon Transform--Gaussian
• Radon Transform--Square
• Rado's Sigma Function
• Railroad Track Problem
• Ramanujan 6-10-8 Identity
• Ramanujan Constant
• Ramanujan Continued Fraction
• Ramanujan Cos/Cosh Identity
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• Ramanujan Function
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• Ramanujan-Petersson Conjecture
• Ramanujan Psi Sum
• Ramanujan's Hypergeometric Identity
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• Ramanujan's Identity
• Ramanujan's Integral