Abstract
The notions of Ext-depth and Tor-codepth with respect to an ideal \(\mathfrak {a}\) of a commutative ring R were introduced and investigated by Strooker for R-modules. He also proved (see Strooker (Homological questions in local algebra, Cambridge University Press, Cambridge, 1990)[1, 6.1.6, 6.1.7]) that these can be computed by the use of a Koszul complex when the ideal \(\mathfrak {a}\) is finitely generated.
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Schenzel, P., Simon, AM. (2018). Koszul Complexes, Depth and Codepth. In: Completion, Čech and Local Homology and Cohomology. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-96517-8_5
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DOI: https://doi.org/10.1007/978-3-319-96517-8_5
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