Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 101

Preprint Number 101

Previous Next Preprint server

101. Vera Puninskaya, Carlo Toffalori
Superdecomposable pure injective modules over commutative Noetherian rings

Submission date: 13 November 2007.


We investigate width and Krull--Gabriel dimension over commutative Noetherian rings which are "tame" according to the Klingler--Levy analysis in this setting, in particular over Dedekind-like rings and their homomorphic images. We show that both are undefined in most cases.

Mathematics Subject Classification: 03C60, 13CXX

Keywords and phrases: Artinian triad, Drozd ring, Klein ring, Dedekind-like ring, Krull--Gabriel dimension, Width, Superdecomposable pure injective module

Full text: pdf, dvi, ps.

Last updated: October 20 2009 12:57 Please send your corrections to: