Extensions of covariantly finite subcategories

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Extensions of covariantly finite subcategories

Gentle and Todorov proved that in an abelian category with enough projective objects, the extension subcategory of two covariantly finite subcategories is covariantly finite. We give an example to show that Gentle–Todorov’s theorem may fail in an arbitrary abelian category; however we prove a triangulated version of Gentle–Todorov’s theorem which holds for arbitrary triangulated categories; we ...

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ژورنال

عنوان ژورنال: Archiv der Mathematik

سال: 2009

ISSN: 0003-889X,1420-8938

DOI: 10.1007/s00013-009-0013-8