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单词 ZeroModule
释义

zero module


Let R be a ring.

The abelian groupMathworldPlanetmath which contains only an identity elementMathworldPlanetmath (zero)gains a trivial R-module structure,which we call the .

Every R-module M has an zero elementMathworldPlanetmathand thus a submoduleMathworldPlanetmath consisting of that element.This is called the zero submodule of M.

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