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multiplicative subset. In DICTIOUS you will not only get to know all the dictionary meanings for the word
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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
is a proper prime ideal of a ring and
is the set complement, w.r.t. the ring, of
, then
is a multiplicative subset.