Examples of using Finitely generated in English and their translations into Spanish
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in many important cases finitely generated.
Ahlfors' finiteness theorem implies that if the group is finitely generated then Ω( Γ)/ Γ{\displaystyle\Omega(\Gamma)/\Gamma}
An R-module M is finitely generated if there exist finitely many elements x1,…,
k) is a duality between finitely generated left A-modules and finitely generated right A-modules.
A particularly important development here is the work of Gromov who used probabilistic methods to prove the existence of a finitely generated group that is not uniformly embeddable into a Hilbert space.
language theoretic conditions on the multiplication operation in a finitely generated group.
if G is a finitely generated subgroup of a linear group,
Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups
If G is abelian, nilpotent, solvable, cyclic or finitely generated, then so is G/N. If H is a subgroup in a finite group G,
Atiyah originally proposed the axioms of a topological quantum field theory(TQFT) in dimension d defined over a ground ring Λ as following: A finitely generated Λ-module Z(Σ)
sometimes they are assumed to be finitely generated, and sometimes they are required to act properly discontinuously on a non-empty open subset of the Riemann sphere.
Finitely generated.
The theorem is also true for modules that are not finitely generated.
Finitely generated group- Wikipedia,
every ideal is finitely generated.
provides an example of a torsion-free(but not finitely generated) abelian group that is not free abelian.
For various reasons we may not always want to work with the entire ideal corresponding to an algebraic set U. Hilbert's basis theorem implies that ideals in k are always finitely generated.
y(which is clearly finitely generated, since G⟨{x, y}⟩),
Finitely generated or Alexandrov.
Finitely generated quasi-Fuchsian groups are conjugate to Fuchsian groups under quasi-conformal transformations.