Word.ws English Dictionary

Jacobson radical

Jacobson radical noun: the operation that produces (from a given ring) the ideal of elements which annihilates all simple modules (over the given ring); the result of this operation. The Jacobson radical of a ring R is denoted J(R).

Noun

Jacobson radical (plural Jacobson radicals)

  1. (ring theory) The operation that produces (from a given ring) the ideal of elements which annihilates all simple modules (over the given ring); the result of this operation. The Jacobson radical of a ring R is denoted J(R).

Forms of Jacobson radical

pluralJacobson radicals

Questions about Jacobson radical

What does Jacobson radical mean?
Jacobson radical means the operation that produces (from a given ring) the ideal of elements which annihilates all simple modules (over the given ring); the result of this operation. The Jacobson radical of a ring R is denoted J(R).
What part of speech is Jacobson radical?
Jacobson radical is a noun.
What is the plural of Jacobson radical?
The plural of Jacobson radical is Jacobson radicals.

Words near Jacobson radical in the dictionary

  1. jacobsite
  2. jacobsites
  3. Jacobson
  4. Jacobson nerve
  5. Jacobson nerves
  6. Jacobson radical
  7. Jacobson's organ
  8. Jacobson's organs
  9. jacobsoniid
  10. jacobsoniids
  11. Jacobus

Source and license

Adapted from Wiktionary: Jacobson radical (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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