Special homological dimensions and Intersection Theorem

• Autores: Siamak Yassemi, T. Sharif
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 96, Nº 2, 2005, págs. 161-168
• Idioma: inglés
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• Resumen

  • Let (R,m) be commutative Noetherian local ring. It is shown that R is Cohen-Macaulay ring if there exists a Cohen-Macaulay finite (i.e. finitely generated) R-module with finite upper Gorenstein dimension. In addition, we show that, in the Intersection Theorem, projective dimension can be replaced by quasi-projective dimension.