finitely generated in Germany

finitely generated [fainətiːliːdʒenəreitid] endlich erzeugt [math.]

Sentence patterns related to "finitely generated"

Below are sample sentences containing the word "finitely generated" from the English - Germany Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "finitely generated", or refer to the context using the word "finitely generated" in the English - Germany Dictionary.

1. Every subgroup and factor group of a finitely generated abelian group is again finitely generated abelian.

Jede Untergruppe und Faktorgruppe einer endlich erzeugten abelschen Gruppe ist wieder endlich erzeugt abelsch.

2. Any direct sum of finitely many finitely generated abelian groups is again a finitely generated abelian group.

Jede direkte Summe von endlich vielen endlich erzeugten abelschen Gruppen ist wieder eine endlich erzeugte abelsche Gruppe.

3. A finitely generated torsion-free abelian group is free.

4. The finitely generated abelian groups can be completely classified.

Der Hauptsatz über endlich erzeugte abelsche Gruppen liefert eine vollständige Klassifikation dieser Gruppen.

5. This is the fundamental theorem of finitely generated abelian groups.

Dies ist eine Aussage des Hauptsatzes über endlich erzeugte abelsche Gruppen.

6. This follows from the classification of finitely generated abelian groups.

7. Let k be a field and A finitely generated k-algebra.

8. Any finitely generated algebra over a Jacobson ring is a Jacobson ring.

9. The rank problem is decidable for finite groups and for finitely generated abelian groups.

10. We introduce WQF - rings, GIF - rings and SGQF - rings via the reflexiviry of finitely generated modules.

11. For example, the cohomology ring of a path-connected H-space with finitely generated and free cohomology groups is a Hopf algebra.

So ist der Kohomologiering eines wegzusammenhängenden H-Raums mit endlich erzeugten freien Kohomologiegruppen eine Hopf-Algebra.

12. Researchers then applied these dualities to the study of open problems such as the characterisation of finitely generated projective many-valued algebras.

Die Forscher wandten im Folgenden diese Dualitäten auf die Untersuchung offener Probleme wie etwa die Charakterisierung von endlich erzeugten projektiven vielwertigen Algebren an.

13. The category of all finitely generated abelian groups is also an abelian category, as is the category of all finite abelian groups.

14. An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated.

Eine affine algebraische Gruppe über einem Körper k ist ein darstellbarer kovarianter Funktor von der Kategorie der kommutativen Algebren über k in die Kategorie der Gruppen derart, dass die darstellende Algebra endlich erzeugt ist.

15. In mathematics, the Mordell–Weil theorem states that for an abelian variety A over a number field K, the group A(K) of K-rational points of A is a finitely-generated abelian group, called the Mordell-Weil group.