Classification of split torsion torsionfree triples in module categories

2005/11/07 by Pedro Nicolás, Pedro Nicolas, Nicolas, Pedro +3
Mathematics · #16D90 #18E40 #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16D90 #msc:18E40

paper · pdf · doi:10.48550/arxiv.math/0511159

14 pages

arxiv created 2005/11/07 · openalex publication_date 2005/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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