Gauss' Lemma without Primes

We prove a form of Gauss' lemma which holds in a wider class of rings than the factorial rings: If any two elements of a ring have a gcd, then the same holds for the polynomial rings over this ring.
5 pages.
View now or get DVI file or get Postscript file.

This result can also be obtained using the theory of Dedekind rings, but the proof presented here is more elementary.

Gauss' Lemma without Primes
Bruno Haible <bruno@clisp.org>

Last modified: 20 April 1998.