Polycyclic-by-finite group algebras are catenary
classification
🧮 math.RA
keywords
algebrascatenarygrouppolycyclic-by-finitechainscontainedfieldgiven
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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.
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