Last Updated:2025/11/25
Sentence

代数のゼミで、彼女はその加群が半単純(すなわちすべての部分加群が直和の直和成分である)であることを示す明確な証明を発表した。

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In our algebra seminar, she presented a clear proof that the module is semisimple, showing that every submodule is a direct summand.

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In our algebra seminar, she presented a clear proof that the module is semisimple, showing that every submodule is a direct summand.

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Related words

semisimple

Adjective
not-comparable of a module of an algebra or ring of an operator or matrix of a Lie algebra of an algebraic group
Japanese Meaning
(数学:加群の場合)すべての部分加群が直接和として分解できる、つまり任意の部分加群が補対象を持つこと。 / (数学:代数または環の場合)対角化可能な性質を持つこと。
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代数のゼミで、彼女はその加群が半単純(すなわちすべての部分加群が直和の直和成分である)であることを示す明確な証明を発表した。

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