A special ideal in a commutative ring 
. The Jacobson radical is the intersection of the maximal ideals
in 
.
It could be the zero ideal, as in the case of the integers.
Jacobson Radical
See also
Algebraic Geometry, Algebraic Number Theory, Ideal, Ideal Radical, NilradicalThis entry contributed by Todd Rowland
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Cite this as:
Rowland, Todd. "Jacobson Radical." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/JacobsonRadical.html