Jacobson radical

Hello, you have come here looking for the meaning of the word Jacobson radical. In DICTIOUS you will not only get to know all the dictionary meanings for the word Jacobson radical, but we will also tell you about its etymology, its characteristics and you will know how to say Jacobson radical in singular and plural. Everything you need to know about the word Jacobson radical you have here. The definition of the word Jacobson radical will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofJacobson radical, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.

English

Noun

Jacobson radical (plural Jacobson radicals)

  1. (mathematics, 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).