finitely การใช้

• The group of finitely generated by the Mordell-Weil theorem.
• The latter is projective if \ mathcal E is finitely generated.
• Also, every infinite-dimensional subspace of is finitely universal.
• The Smith normal form is useful for computing the finitely generated.
• In 1971 he conjectured that every finitely generated group is accessible.
• Some of these slots are reserved or finitely set by statute.
• In particular the finitely many equations we have listed above suffice.
• Finite topological spaces are a special class of finitely generated spaces.
• However, people mostly study acceptance conditions that are finitely representable.
• Then, only finitely many are singular ( bad reduction ).
• This follows from the classification of finitely generated abelian groups.
• A cylinder subset of is a finitely restricted set defined as
• Therefore, there are finitely generated groups that cannot be recursively presented.
• They are proven to be nilpotent if they have finite finitely generated.
• In particular, P is a finitely generated free module.
• More generally, every finitely-generated free abelian group.
• Also note that every finitely generated Coxeter group is an Automatic group.
• Where the sum actually has only finitely many nonzero terms.
• This is the precise sense in which NBG can be finitely axiomatized.
• While such sets are infinite, they can always be finitely representable.