Displaying similar documents to “Locally injective G -sheaves of abelian groups”

Almost abelian categories

Wolfgang Rump (2001)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Compact corigid objects in triangulated categories and co-t-structures

David Pauksztello (2008)

Open Mathematics

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In the work of Hoshino, Kato and Miyachi, [11], the authors look at t-structures induced by a compact object, C , of a triangulated category, 𝒯 , which is rigid in the sense of Iyama and Yoshino, [12]. Hoshino, Kato and Miyachi show that such an object yields a non-degenerate t-structure on 𝒯 whose heart is equivalent to Mod(End( C )op). Rigid objects in a triangulated category can the thought of as behaving like chain differential graded algebras (DGAs). Analogously, looking at objects...

Natural dualities between abelian categories

Flaviu Pop (2011)

Open Mathematics

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In this paper we consider a pair of right adjoint contravariant functors between abelian categories and describe a family of dualities induced by them.