Geodesic
G-dimension over local homomorphisms with respect to a semi-dualizing complex
Czechoslovak Mathematical Journal, Tome 64 (2014) no. 2, pp. 567-579

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We study the G-dimension over local ring homomorphisms with respect to a semi-dualizing complex. Some results that track the behavior of Gorenstein properties over local ring homomorphisms under composition and decomposition are given. As an application, we characterize a dualizing complex for $R$ in terms of the finiteness of the G-dimension over local ring homomorphisms with respect to a semi-dualizing complex.
DOI : 10.1007/s10587-014-0119-4
Classification : 13D02, 13D05, 13D07
Keywords: Cohen factorization; Gorenstein dimension; Gorenstein homomorphism; semi-dualizing complex 
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Dejun, Wu. G-dimension over local homomorphisms with respect to a semi-dualizing complex. Czechoslovak Mathematical Journal, Tome 64 (2014) no. 2, pp. 567-579. doi: 10.1007/s10587-014-0119-4

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