Jacobson radical
radical of a ring as a module over itself; the intersection of all maximal right (or equivalently left) ideals of the ring; the sum of all superfluous right (or equiv. left) ideals
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Jacobson radical
Summary
Jacobson radical is a mathematical concept[1]. It draws 87 Wikipedia views per month (mathematical_concept category, ranking #199 of 1,007).[2]
Key Facts
- Jacobson radical's instance of is recorded as mathematical concept[3].
- Nathan Jacobson is named after Jacobson radical[4].
- Jacobson radical's subclass of is recorded as ideal[5].
- Jacobson radical's subclass of is recorded as radical of a module[6].
- Jacobson radical's Freebase ID is recorded as /m/0ftmd[7].
- Jacobson radical's defining formula is recorded as \operatorname J(R) = {r\in R\colon 1+RrR \subseteq R^\times}[8].
- Jacobson radical's MathWorld ID is recorded as JacobsonRadical[9].
- Jacobson radical's nLab ID is recorded as Jacobson radical[10].
- Jacobson radical's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- Jacobson radical's Microsoft Academic ID is recorded as 129478007[12].
- Jacobson radical's ProofWiki ID is recorded as Definition:Jacobson_Radical[13].
- Jacobson radical's OpenAlex ID is recorded as C129478007[14].
Why It Matters
Jacobson radical draws 87 Wikipedia views per month (mathematical_concept category, ranking #199 of 1,007).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[15]