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

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

2007-12-02

arxiv.org/abs/0712.0126v2

Mathematics

Commutative Algebra

Scientific paper

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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