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arXiv · 0712.0126

Global Gorenstein dimensions of polynomial rings and of direct product of rings

D. Bennis·N. Mahdou
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Abstract

In this paper, we extend the well-known Hilbert's syzygy theorem to the Gorenstein homological dimensions of rings. Also, we study the Gorenstein homological dimensions of direct product of rings, which gives examples of non-Noetherian rings of finite Gorenstein dimensions and infinite classical weak dimension.

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D. Bennis, N. Mahdou. 2008-01-08. Global Gorenstein dimensions of polynomial rings and of direct product of rings. https://arxiv.org/abs/0712.0126

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