Semi-dualizing modules and related Gorenstein homological dimensions

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A semi-dualizing module over a commutative noetherian ring A is a finitely generated module C with RHom_A(C,C) \simeq A in the derived category D(A). We show how each such module gives rise to three new homological dimensions which we call C-Gorenstein projective, C-Gorenstein injective, and C-Gorenstein flat dimension, and investigate the properties of these dimensions.
25 pages

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Commutative Algebra, 13D05, 13D07, 13D25, 18G10, 18G25

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http://salesiana.dossiersoluciones.com/handle/123456789/71347

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405526
 http://arxiv.org/abs/math/0405526

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arXiv