Classification of split torsion torsionfree triples in module categories
Pedro Nicolas, Manuel Saorin
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.
Create a lesson
Related papers
Free Novikov-Zinbiel algebra
A. Dauletiyarova, F. Mashurov, B. Sartayev
Very good gradings on structural matrix rings
Patrik Lundström, Johan Öinert, Laura Orozco et al.
Relation graphs of the sedenion algebra
Alexander Guterman, Svetlana Zhilina
On doubly alternative zero divisors in Cayley-Dickson algebras
Svetlana Zhilina
Diameter of the commutativity graph of the real sedenions
Svetlana Zhilina
Functional identities of degree 2 at two-sided zero products on incidence algebras
Hongyu Jia, Zhankui Xiao