Classification of split torsion torsionfree triples in module categories |
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Authors: | Pedro Nicolás |
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Institution: | Departamento de Matemáticas, Universidad de Murcia, Aptdo. 4021, 30100 Espinardo, Murcia, Spain |
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Abstract: | A TTF-triple (C,T,F) in an abelian category is 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 40 years. |
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Keywords: | 16D10 18E40 16S90 |
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