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单词 FaithfulModule
释义

faithful module


Let R be a ring, and let M be an R-module.We say that M is a faithful R-moduleif its annihilatorPlanetmathPlanetmathPlanetmathPlanetmath annR(M) is the zero idealMathworldPlanetmathPlanetmath.

We say that M is a fully faithful R-moduleif every nonzero R-submodule of M is faithful.

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更新时间:2025/5/4 23:47:18