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单词 PrimeRadical
释义

prime radical


The prime radical or lower nilradical of a ring R is the intersection of all the prime idealsMathworldPlanetmathPlanetmathPlanetmath of R.

Note that the prime radical is the smallest semiprime idealMathworldPlanetmath of R, and that R is a semiprime ring if and only if its prime radical is the zero idealMathworldPlanetmathPlanetmath.

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更新时间:2025/5/4 23:19:52