| 单词 | finitely generated |
| 释义 | BETA Examples offinitely generatedDictionary> Examples offinitely generated finitely generatedisn’t in the Cambridge Dictionary yet. You can help! Add a definition Now we obtain the sufficient and necessary condition to be semi-hyperbolic for afinitelygeneratedrational semigroup. From theCambridge English Corpus To make this more tractable, we could restrict the question tofinitelygeneratedgroups. From theCambridge English Corpus Any subgroup of afinitelygeneratednilpotent group isfinitelygenerated. From theCambridge English Corpus The limit groups are precisely thefinitelygeneratedsubgroups of -residually free towers, but not every limit group is itself such a tower (see 2). From theCambridge English Corpus Skew product maps related tofinitelygeneratedrational semigroups. From theCambridge English Corpus The degree of polynomial growth offinitelygeneratednilpotent groups. From theCambridge English Corpus Noetherian modules over arbitrary rings are alwaysfinitelygenerated. From theCambridge English Corpus Anyfinitelygeneratedsolvable group with exponential growth has uniformly exponential growth. From theCambridge English Corpus From this one can easily show that it suffices to prove the theorem in the case when itself isfinitelygenerated. From theCambridge English Corpus As well as for a wider class of allfinitelygenerateddimension groups. From theCambridge English Corpus This holds, in particular, for (finitedimensional) vector spaces over locally compact fields, where the group of automorphisms can even be chosen to befinitelygenerated. From theCambridge English Corpus For example, everyfinitelygeneratedabelian group is amenable. From theCambridge English Corpus Since every subgroup of afinitelygeneratedfree abelian group isfinitelygenerated, ker n will befinitelygenerated. From theCambridge English Corpus Now suppose that is residually finite,finitelygeneratedand has polynomial growth. From theCambridge English Corpus Limit groups turn out to be precisely thefinitelygeneratedgroups with the same existential theory as a free group. From theCambridge English Corpus These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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