radical ideal

名词 n.

英文释义

名词 n.
  1. An ideal I within a ring R that is its own radical (i.e., for any r ∈ R, if rⁿ ∈ I for some positive integer n, then r ∈ I).
    — 1981, Harry C. Hutchins, Examples of Commutative Rings, Polygonal Publishing House, page 3, Any intersection of radical ideals is again a radical ideal. Since not every intersection of prime ideals is a prime ideal, it follows that not all radical ideals are prime.

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