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- W2534696839 abstract "We investigate conditions for when the $t$-structure of Happel-Reiten-Smalo associated to a torsion pair is a compactly generated $t$-structure. The concept of a $t$CG torsion pair is introduced and for any ring $R$, we prove that $mathbf{t}=(mathcal{T},mathcal{F})$ is a $t$CG torsion pair in $Rtext{-Mod}$ if, and only if, there exists, ${T_{lambda}}$ a set of finitely presented $R$-modules in $mathcal{T}$, such that $mathcal{F}=bigcap text{Ker}({text{Hom}}_{R}(T_{lambda},?))$. We also show that every $t$CG torsion pair is of finite type, and show that the reciprocal is not true. Finally, we give a precise description of the $t$CG torsion pairs over Noetherian rings and von Neumman regular rings." @default.
- W2534696839 created "2016-10-28" @default.
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- W2534696839 date "2016-10-20" @default.
- W2534696839 modified "2023-09-27" @default.
- W2534696839 title "tCG Torsion Pairs" @default.
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