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单词 SimpleRing
释义

simple ring


A nonzero ring R is said to be a simple ringMathworldPlanetmath if it has no (two-sided) ideal other then the zero idealMathworldPlanetmathPlanetmath and R itself.

This is equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmath to saying that the zero ideal is a maximal idealMathworldPlanetmathPlanetmath.

If R is a commutative ring with unit, then this is equivalent to being a field.

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更新时间:2025/5/5 1:21:18