Last Updated
：2025/12/05
multiplicative subset
Noun
Japanese Meaning
環の単位元（1）を含み、環の乗法演算に関して閉じている部分集合。すなわち、任意の2要素の積が再びその部分集合に属するという性質を持つ集合。
（ plural ）
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(commutative algebra) A subset of a ring which contains the ring’s unity and which is multiplicatively closed, i.e., it is closed with respect to the ring’s multiplicative operation.
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multiplicative subset
To construct the localization of a ring, algebraists invert every element of a multiplicative subset and adjoin the resulting inverses.
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To construct the localization of a ring, algebraists invert every element of a multiplicative subset and adjoin the resulting inverses.
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