paper

Polycyclic-by-finite group algebras are catenary

arXiv:math/9808123

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.

12 pages, AMS-LaTeX

Polycyclic-by-finite group algebras are catenary · wovepaper