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Polycyclic-by-finite group algebras are catenary

Edward S. Letzter·Martin Lorenz
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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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Edward S. Letzter, Martin Lorenz. 1998-08-29. Polycyclic-by-finite group algebras are catenary. https://arxiv.org/abs/math/9808123

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