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finitely generated kelimesinin çevirisi İngilizce » Almanca sözlüğünde

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finitely generated SıFAT

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This defines an equivalence of categories between the category of algebraic sets and the opposite category of the finitely generated reduced "k" -algebras.
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These groups are finitely generated, but not finitely presented.
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This follows from the classification of finitely generated abelian groups.
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His most famous result is that the ring of invariants of binary forms of fixed degree is finitely generated.
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Another important idea in geometric group theory is to consider finitely generated groups themselves as geometric objects.
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If this is required only for finitely generated submodules, it is called semihereditary.
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For reasonably simple spaces, all of the groups will be finitely generated, whereas the singular chain groups are, in general, not even countably generated.
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In the case of finitely generated free groups, the proof is easier, and leads to a more precise result.
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One is often interested in projective generators (even finitely generated projective generators, called progenerators) and minimal injective cogenerators.
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It is particularly useful where finiteness assumptions are satisfied, for example finitely generated groups, or finitely presented groups (i.e. in addition the relations are finite).
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