The Jacobson radical of a commutative ring 
with multiplicative
identity is the intersection of its maximal
ideals. For example, the Jacobson radical of the ring
of integers is the zero ideal.
Jacobson Radical
See also
Algebraic Geometry, Algebraic Number Theory, Ideal, Ideal Radical, NilradicalPortions of this entry contributed by Todd Rowland
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Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Jacobson Radical." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/JacobsonRadical.html