The Ladder Construction of Pruefer Modules
Representation Theory
2007-05-29 v1 Rings and Algebras
Abstract
Let R be a ring (associative, with 1). A non-zero module M is said to be a Pruefer module provided there exists a surjective, locally nilpotent endomorphism with kernel of finite length. The aim of this note is construct Pruefer modules starting from a pair of module homomorphisms w,v: U_0 -> U_1, where w is injective and its cokernel is of finite length.
Cite
@article{arxiv.0705.3905,
title = {The Ladder Construction of Pruefer Modules},
author = {Claus Michael Ringel},
journal= {arXiv preprint arXiv:0705.3905},
year = {2007}
}