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

Proofs: 1

Definitions: 1
Lemmas: 2
Proofs: 3


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References

Bibliography

  1. Modler, Florian; Kreh, Martin: "Tutorium Algebra", Springer Spektrum, 2013
  2. Koch, H.; Pieper, H.: "Zahlentheorie - Ausgewählte Methoden und Ergebnisse", Studienbücherei, 1976