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- W4226297364 abstract "From the notion of (co)generator in relative homological algebra, we present the concept of finite balanced system $[(mathcal{X} , omega ); (nu, mathcal{Y})]$ as a tool to induce balanced pairs $(mathcal{X} , mathcal{Y} )$ for the $mathrm{Hom}$ functor with domain determined by the finiteness of homological dimensions relative to $mathcal{X}$ and $mathcal{Y}$. This approach to balance will cover several well known ambients where right derived functors of $mathrm{Hom}$ are obtained relative to certain classes of objects in an abelian category, such as Gorenstein projective and injective modules and chain complexes, Gorenstein modules relative to Auslander and Bass classes, among others." @default.
- W4226297364 created "2022-05-05" @default.
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- W4226297364 date "2022-03-22" @default.
- W4226297364 modified "2023-09-26" @default.
- W4226297364 title "Balanced systems for $mathrm{Hom}$" @default.
- W4226297364 doi "https://doi.org/10.48550/arxiv.2203.12140" @default.
- W4226297364 hasPublicationYear "2022" @default.
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