[PDF][PDF] ADJOINT PREENVELOPES AND ADJOINT PRECOVERS IN THE FUNCTOR CATEGORY

S GUO, X YANG - imar.ro
Given a ring R, the categories of covariant additive functors (mod-R, Ab) and contravariant
additive functors ((mod-R) op, Ab) from the category mod-R of finitely presented right R …

The Auslander–Reiten Formula on Finitely Presented Functor Categories

S Guo, X Yang - Bulletin of the Malaysian Mathematical Sciences …, 2021 - Springer
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On homological dimensions in some functor categories

LX Mao - Mathematical Notes, 2017 - Springer
In this paper, we investigate the homological properties of the functor categories (mod− R,
Ab) and ((mod− R) op, Ab). Some new homological dimensions in these functor categories …

The Cotorsion Pair Cogenerated by the Subcategory of Stable Functors in ((R-mod)op, Ab)

X Fu, M Ni - Algebra Colloquium, 2019 - World Scientific
Let R be an associative ring with identity. Denote by ((R-mod) op, Ab) the category
consisting of contravariant functors from the category of finitely presented left R-modules R …