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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 BY-SA 3.0 Sources:

1. Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück