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Publication status: has appeared in Mathematical Research Letters 6, 183-194 (1999).
Abstract:
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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