Last Updated
：2025/11/25
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。
Sense（2）
Sense（3）
Quizzes for review
(mathematics, of a module) In which each submodule is a direct summand. / (mathematics, of an algebra or ring) diagonalizable.
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semisimple
In our algebra seminar, she presented a clear proof that the module is semisimple, showing that every submodule is a direct summand.
See correct answer
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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