In mathematics, more specifically ring theory, the Jacobson radical of a ring R {\displaystyle R} is the ideal consisting of those elements in R {\displaystyle R} that annihilate all simple right R {\displaystyle R} -modules. It happens that substituting "left" in place of "right" in the definition yields the same ideal, and so the notion is left–right symmetric.
In mathematics, more specifically ring theory, the Jacobson radical of a ring R {\displaystyle R} is the ideal consisting of those elements in R {\displaystyle R} that annihilate all simple right R {\displaystyle R} -modules. It happens that substituting "left" in place of "right" in the definition yields the same ideal, and so the notion is left–right symmetric.
Source: Wikipedia "Jacobson radical" · CC BY-SA 4.0
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