Proposition: Group of Units
The units of an integral domain $(R, + ,\cdot)$ form with respect to the multiplication operation "$\cdot$" a group, called the group of units of $R,$ and denoted by $(R^\ast,\cdot).$
Examples
- $\mathbb Z^\ast=\{1,-1\}.$
- $\mathbb Q[X]^\ast=\mathbb Q\setminus\{0\}.$
Table of Contents
Proofs: 1
Mentioned in:
Definitions: 1
Lemmas: 2
Proofs: 3
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References
Bibliography
- Modler, Florian; Kreh, Martin: "Tutorium Algebra", Springer Spektrum, 2013
- Koch, H.; Pieper, H.: "Zahlentheorie - Ausgewählte Methoden und Ergebnisse", Studienbücherei, 1976
