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原始イデアル - miniwiki

原始イデアル

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数学において、環論において左原始イデアル (primitive ideal) は単純左加群の零化イデアルである。右原始イデアルは同様に定義される。（その名前にもかかわらず）左と右原始イデアルは常に両側イデアルであることに注意しよう。

環の左原始イデアルによる商は左原始環である。

参考文献

Isaacs, I. Martin (1994), Algebra, Brooks/Cole Publishing Company, ISBN 0-534-19002-2

テンプレート:Abstract-algebra-stub

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