Polycyclic-by-finite group algebras are catenary

Details Polycyclic-by-finite group algebras are catenary Polycyclic-by-finite group algebras are catenary

1998-08-29

arxiv.org/abs/math/9808123v1

Mathematics

Rings and Algebras

12 pages, AMS-LaTeX

Scientific paper

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.

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