Applications of contravariantly finite subcategories
نویسندگان
چکیده
منابع مشابه
The Homological Theory of Contravariantly Finite Subcategories:
Let C be an abelian or exact category with enough projectives and let P be the full subcategory of projective objects of C . We consider the stable category C/P modulo projectives, as a left triangulated category [14], [36]. Then there is a triangulated category S(C/P) associated to C/P, which is universal in the following sense. There exists an exact functor S : C/P -t S(C/P) such that any exa...
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We prove that in an abelian category with enough projective objects, the extension subcategory of two covariantly finite subcategories is still covariantly finite. This extends a result by Sikko and Smalø. We also prove a triangulated version of the result. As applications, we obtain short proofs to a classical result by Ringel and a recent result by Krause and Solberg. 1. Main Theorems Let C b...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1991
ISSN: 0001-8708
DOI: 10.1016/0001-8708(91)90037-8