finitely

finitely
adverb see finite

New Collegiate Dictionary. 2001.

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  • Finitely — Fi nite*ly, adv. In a finite manner or degree. [1913 Webster] …   The Collaborative International Dictionary of English

  • finitely — finite ► ADJECTIVE ▪ limited in size or extent. DERIVATIVES finitely adverb finiteness noun. ORIGIN Latin finitus finished …   English terms dictionary

  • finitely — adverb with a finite limit there are finitely many solutions to this problem • Ant: ↑infinitely • Derived from adjective: ↑finite …   Useful english dictionary

  • Finitely generated — may refer to: * finitely generated group * finitely generated abelian group * finitely generated module: in particular, finitely generated ideal * finitely generated algebra * finitely generated space …   Wikipedia

  • Finitely-generated module — In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R module also may be called a finite R module or finite over R.[1] Related concepts include finitely cogenerated modules, finitely… …   Wikipedia

  • Finitely generated module — In mathematics, a finitely generated module is a module that has a finite generating set. Equivalently, it is a homomorphic image of a free module on finitely many generators. The kernel of this homomorphism need not be finitely generated (then… …   Wikipedia

  • Finitely-generated abelian group — In abstract algebra, an abelian group (G,+) is called finitely generated if there exist finitely many elements x1,...,xs in G such that every x in G can be written in the form x = n1x1 + n2x2 + ... + nsxs with integers n1,...,ns. In this case, we …   Wikipedia

  • Finitely generated abelian group — In abstract algebra, an abelian group ( G ,+) is called finitely generated if there exist finitely many elements x 1,..., x s in G such that every x in G can be written in the form : x = n 1 x 1 + n 2 x 2 + ... + n s x s with integers n 1,..., n… …   Wikipedia

  • Finitely generated algebra — In mathematics, a finitely generated algebra is an associative algebra A over a field K such that every element of A can be expressed as a polynomial in a finite set of elements a 1, hellip;, a n of A , with coefficients in K . If it is necessary …   Wikipedia

  • finitely — See finite. * * * …   Universalium

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