Abelian exact subcategories closed under predecessors

Details Abelian exact subcategories closed under predecessors Abelian exact subcategories closed under predecessors

2004-01-12

arxiv.org/abs/math/0401113v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

In the category of finitely generated modules over an artinian ring, we
classify all the abelian exact subcategories closed under predecessors or,
equivalently, all the split torsion pairs with torsion-free class closed under
quotients.

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