paper

Classification of split torsion torsionfree triples in module categories

arXiv:math/0511159

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.

14 pages

Classification of split torsion torsionfree triples in module categories · wovepaper