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单词 DirectSummand
释义

direct summand


Let R be a ring and BA left (right) R-modules. Then B is called a direct summandMathworldPlanetmath of A if there exists a left (right) R-submoduleMathworldPlanetmath C such that A=BC.

For example, a projective moduleMathworldPlanetmath is a direct summand of a free moduleMathworldPlanetmathPlanetmath over any ring.

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更新时间:2025/5/4 18:05:24