multiplicative subset

English

multiplicative subset (plural multiplicative subsets)

(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.
If ${\\displaystyle P}$ is a proper prime ideal of a ring and ${\\displaystyle M}$ is the set complement, w.r.t. the ring, of ${\\displaystyle P}$ , then ${\\displaystyle M}$ is a multiplicative subset.

单词	multiplicative subset
释义	multiplicative subset English Noun multiplicative subset (plural multiplicative subsets) (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. If ${\\displaystyle P}$ is a proper prime ideal of a ring and ${\\displaystyle M}$ is the set complement, w.r.t. the ring, of ${\\displaystyle P}$ , then ${\\displaystyle M}$ is a multiplicative subset.
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