ar X iv : m at h / 05 11 15 9 v 1 [ m at h . R A ] 7 N ov 2 00 5 CLASSIFICATION OF SPLIT TORSION TORSIONFREE TRIPLES IN MODULE CATEGORIES
نویسندگان
چکیده
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 forty years.
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تاریخ انتشار 2005