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

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

2008-01-03

arxiv.org/abs/0801.0483v1

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 products of rings. Our results generate
examples of non-Noetherian rings of finite Gorenstein dimensions and infinite
classical weak dimension.

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