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\( \infty \)-tilting theory - MaRDI portal

\( \infty \)-tilting theory (Q2305334)

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\( \infty \)-tilting theory
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    \( \infty \)-tilting theory (English)
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    10 March 2020
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    There are defined infinitely generated tilting objects of infinite homological dimension in an abelian category. The resulting \(\infty\)-tilting theory extends the usual tilting theory and covers various known situations, like Wakamatsu tilting modules, semidualizing bimodules and the Foxby equivalence and comodule-contramodule and semimodule-semicontramodule corespondences.
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    tilting theory
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    Wakamatsu tilting module
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    pseudo-derived equivalence
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