English

Polycyclic-by-finite group algebras are catenary

Rings and Algebras 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9808123,
  title  = {Polycyclic-by-finite group algebras are catenary},
  author = {Edward S. Letzter and Martin Lorenz},
  journal= {arXiv preprint arXiv:math/9808123},
  year   = {2007}
}

Comments

12 pages, AMS-LaTeX

R2 v1 2026-07-22T17:59:44.519Z