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Definition: Multiplicative System
Let \((R, +, \cdot)\) be a commutative unit ring. A subset \(S\subseteq R\) is called a multiplicative system, if it fulfills the following properties:
 \(1\in S\),
 \(fg\in S\) for all \(f,g\in S\) (i.e. \(S\) is closed under the multiplication)
Mentioned in:
Lemmas: 1
Proofs: 2
Propositions: 3
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References
Adapted from CC BYSA 3.0 Sources:
 Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of OsnabrÃ¼ck