%0 Journal Article
%T Classification of split torsion torsionfree triples in module categories
%A Pedro Nicolas
%A Manuel Saorin
%J Mathematics
%D 2005
%I arXiv
%X A TTF-triple $(\mathcal{C},\mathcal{T},\mathcal{F})$ in an abelian category is called 'one-sided split' in case either $(\mathcal{C},\mathcal{T})$ or $(\mathcal{T},\mathcal{F})$ 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.
%U http://arxiv.org/abs/math/0511159v1