multiplicative set

Let $A$ be a set on which a multiplication operation $\cdot :A\times A⟶A$ has been defined. A multiplicative subset of $A$ is a subset $S\subset A$ with the property that $s\cdot t\in S$ for every $s,t\in S$.

Title	multiplicative set
Canonical name	MultiplicativeSet
Date of creation	2013-03-22 11:50:19
Last modified on	2013-03-22 11:50:19
Owner	djao (24)
Last modified by	djao (24)
Numerical id	8
Author	djao (24)
Entry type	Definition
Classification	msc 13B30
Classification	msc 16U20
Classification	msc 47H30
Classification	msc 45G05
Related topic	localization
Defines	multiplicative subset