Neat and coneat submodules of modules over commutative rings

Authors

  • S. Crivei "Babes-Bolyai" University

Keywords:

neat (coneat) exact sequence of modules, absolutely neat (coneat) module, maximal ideal

Abstract

We prove that neat and coneat submodules of a module coincide when \(R\) is a commutative ring such that every maximal ideal is principal, extending a recent result by Fuchs. We characterise absolutely neat (coneat) modules and study their closure properties. We show that a module is absolutely neat if and only if it is injective with respect to the Dickson torsion theory. 10.1017/S0004972713000622

Published

2014-01-27

Issue

Section

Articles