| 词汇 | finitely-generated |
| 语种 | 英语、汉语、英汉翻译、汉英翻译 |
| 释义 | BETA finitely generatedcollocation in Englishmeanings of finitelyThese words are often used together. Click on the links below to explore the meanings. finitely adverb uk /ˈfaɪ.naɪt.li/ us /ˈfaɪ.naɪt.li/ in a way that has a limit ... See more at finitely Examples of finitely generatedfinitely generated Now we obtain the sufficient and necessary condition to be semi-hyperbolic for a finitelygenerated rational semigroup. To make this more tractable, we could restrict the question to finitelygenerated groups. Any subgroup of a finitelygenerated nilpotent group is finitelygenerated. The limit groups are precisely the finitelygenerated subgroups of -residually free towers, but not every limit group is itself such a tower (see 2). Skew product maps related to finitelygenerated rational semigroups. The degree of polynomial growth of finitelygenerated nilpotent groups. Noetherian modules over arbitrary rings are always finitelygenerated. Any finitelygenerated solvable group with exponential growth has uniformly exponential growth. From this one can easily show that it suffices to prove the theorem in the case when itself is finitelygenerated. As well as for a wider class of all finitelygenerated dimension groups. This holds, in particular, for (finitedimensional) vector spaces over locally compact fields, where the group of automorphisms can even be chosen to be finitelygenerated. For example, every finitelygenerated abelian group is amenable. Since every subgroup of a finitelygenerated free abelian group is finitelygenerated, ker n will be finitelygenerated. Now suppose that is residually finite, finitelygenerated and has polynomial growth. Limit groups turn out to be precisely the finitelygenerated groups with the same existential theory as a free group. 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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