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Nilradical


The set of nilpotent elements in a commutative ring is an ideal, and it is called the nilradical. Another equivalent description is that it is the intersection of the prime ideals. It could be the zero ideal, as in the case of the integers.


See also

Algebraic Geometry, Algebraic Number Theory, Ideal, Ideal Radical, Jacobson Radical

This entry contributed by Todd Rowland

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Cite this as:

Rowland, Todd. "Nilradical." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Nilradical.html

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