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.

• Elliptic Helicoid
• Elliptic Hyperboloid
• Elliptic Integral
• Elliptic Integral of the First Kind
• Elliptic Integral of the Second Kind
• Elliptic Integral of the Third Kind
• Elliptic Integral Singular Value
• Elliptic Integral Singular Value k1
• Elliptic Integral Singular Value k2
• Elliptic Integral Singular Value k3
• Ellipticity
• Elliptic Lambda Function
• Elliptic Logarithm
• Elliptic Modular Function
• Elliptic Paraboloid
• Elliptic Partial Differential Equation
• Elliptic Plane
• Elliptic Point
• Elliptic Pseudoprime
• Elliptic Rotation
• Elliptic Theta Function
• Elliptic Torus
• Elliptic Umbilic Catastrophe
• Ellison-Mendès-France Constant
• Elongated Cupola