Last Updated
：2025/11/21
local ring
（ plural ）
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(algebra) A commutative ring with a unique maximal ideal, or a noncommutative ring with a unique maximal left ideal or (equivalently) a unique maximal right ideal.
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local ring
When studying modules over a local ring, one often benefits from the simplifications that arise from its unique maximal ideal.
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When studying modules over a local ring, one often benefits from the simplifications that arise from its unique maximal ideal.
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