Proceedings of the American Mathematical Society

Author(s): Driss Bennis; Najib Mahdou
Journal: Proc. Amer. Math. Soc. 138 (2010), 461-465.
MSC (2000): Primary 16E05, 16E10, 16E30, 16E65
Posted: September 28, 2009
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Abstract: In this paper, we prove that the global Gorenstein projective dimension of a ring

is equal to the global Gorenstein injective dimension of

and that the global Gorenstein flat dimension of

is smaller than the common value of the terms of this equality.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 16E05, 16E10, 16E30, 16E65

Driss Bennis
Affiliation: Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco
Email: driss_bennis@hotmail.com

Najib Mahdou
Affiliation: Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco
Email: mahdou@hotmail.com

DOI: 10.1090/S0002-9939-09-10099-0
PII: S 0002-9939(09)10099-0
Keywords: Global dimension of rings, weak global dimension of rings, Gorenstein homological dimensions of modules, Gorenstein global dimension of rings, weak Gorenstein global dimension of rings
Received by editor(s): August 25, 2008,
Received by editor(s) in revised form: June 1, 2009
Posted: September 28, 2009
Dedicated: Dedicated to our advisor, Salah-Eddine Kabbaj
Communicated by: Birge Huisgen-Zimmermann
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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