Polycyclic-by-finite group algebras are catenary

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We show that group algebras kG of polycyclic-by-finite groups G, where k is a field, are catenary: Given prime ideals P and P' of kG, with P contained in P', all saturated chains of primes between P and P' have the same length.
12 pages, AMS-LaTeX

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Rings and Algebras, 16S34, 16D30, 16P40

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http://salesiana.dossiersoluciones.com/handle/123456789/77327

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9808123
 http://arxiv.org/abs/math/9808123

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arXiv