Last Updated
：2025/12/04
minimal ideal
Noun
Japanese Meaning
環論（抽象代数学）の文脈において、非零な双方向イデアルであり、内包する非零な双方向イデアルが存在しない最小のイデアル。
（ plural ）
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(algebra, ring theory) A nonzero (two-sided) ideal that contains no other nonzero two-sided ideal.
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minimal ideal
In the study of semiprime rings, the existence of a minimal ideal can simplify the classification of modules over the ring.
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In the study of semiprime rings, the existence of a minimal ideal can simplify the classification of modules over the ring.
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