finitely in English

adverb

in a finite manner, in a limited manner (Mathematics)

Use "finitely" in a sentence

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

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

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

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

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

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

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

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

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

11. Ceaselessly definition: with unflagging resolve synonyms: incessantly, continuously, endlessly, unendingly, unceasingly antonyms: finitely

12. (A 4-dimensional p-brane is called a 4-brane.) The p-Branes expanded infinitely far in certain directions but finitely […]

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

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

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

16. The duality of finitely presented many-valued algebras and rational polyhedra was then obtained by specialising such an adjunction.

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

18. This addition of morphism turns Ab into a preadditive category, and because the direct sum of finitely many abelian groups yields a biproduct, we indeed have an additive category.

19. 3) For any $ n $, there are — up to equivalence — only finitely many $ n $- dimensional Crystallographic groups (this is a solution to Hilbert's 18th problem).

20. 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.

21. 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.

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