Volume no :5, Issue no: 2, July 2010

TESTING FREENESS OVER HERMITE RINGS

Author's: Verónica Cifuentes and Oswaldo Lezama
Pages: [289] - [306]
Received Date: June 15, 2010
Submitted by:

Abstract

In this paper, we present some matrix and constructive results that check freeness for a given finitely generated projective S-module M of constant rank, where S is a Hermite commutative ring. In particular, we give a matrix characterization of PF rings (a commutative ring S is PF is every f.g projective S-module is free). In addition, following the ideas in [3], we will exhibit an easy procedure for computing the module where S is an arbitrary Noetherian commutative ring with some natural computational conditions.

Keywords

free modules, syzygies, Hermite rings, commutative Noetherian rings, constructive algebra.