Classification of split torsion torsionfree triples in module categories
Abstract
A TTF-triple (C,T,F) in an abelian category is called 'one-sided split' in case either (C,T) or (T,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.
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