Classification of split torsion torsionfree triples in module categories
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
A TTF-triple in an abelian category is called 'one-sided split' in case either or is a split torsion theory. In this paper we classify one-sided split TTF-triples in module categories, thus completing Jans' classification of two-sided split TTF-triples and answering a question that has remained open for almost forty years.
Cite
@article{arxiv.math/0511159,
title = {Classification of split torsion torsionfree triples in module categories},
author = {Pedro Nicolas and Manuel Saorin},
journal= {arXiv preprint arXiv:math/0511159},
year = {2007}
}
Comments
14 pages