◀ ▲ ▶Branches / Algebra / Definition: Multiplicative System
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)
Thank you to the contributors under CC BY-SA 4.0!
Adapted from CC BY-SA 3.0 Sources:
- Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück