| 单词 | abelian |
| 释义 | BETA Examples ofabelianDictionary> Examples ofabelian abelianisn’t in the Cambridge Dictionary yet. You can help! Add a definition Since every subgroup of a finitely generated freeabeliangroup is finitely generated, ker n will be finitely generated. From theCambridge English Corpus The chain group in dimension n is defined to be the freeabeliangroup with basis the n-simplexes. From theCambridge English Corpus The nd torus is anabeliangroup, implying that the nd torus-hypergraph is translationinvariant (any two points 'look the same'). From theCambridge English Corpus Since the group isabelian, the infranilmanifold is finitely covered by a torus. From theCambridge English Corpus These assumptions hold in particular if the categories areabelian, and one of the two functors is exact and faithful. From theCambridge English Corpus We start with some general remarks onabelianinvariants. From theCambridge English Corpus Attaching anabelianblock is also often called extending a centralizer. From theCambridge English Corpus Yet nowhere is the reader told that actuallyabeliangroups are not just abstract things but very tangible ones (namely direct sums of cyclic groups). From theCambridge English Corpus Since the action is rotation on a compactabeliangroup it has discrete spectrum and entropy zero. From theCambridge English Corpus For example, every finitely generatedabeliangroup is amenable. From theCambridge English Corpus It can be seen, on the other hand, that it is possible to haveabeliangroups of automorphisms acting ergodically, without the group being compact. From theCambridge English Corpus Filling area conjecture, optimal systolic inequalities, and the fiber class inabeliancovers. From theCambridge English Corpus It now has o several interesting generalizations in theabeliancase in various directions. From theCambridge English Corpus Indeed, it is sufficient to prove this in the case ofabelianvarieties. 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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