Gorenstein Global Dimensions and Cotorsion Dimension of Rings

Details Gorenstein Global Dimensions and Cotorsion Dimension of Rings Gorenstein Global Dimensions and Cotorsion Dimension of Rings

2007-12-02

arxiv.org/abs/0712.0123v2

Mathematics

Commutative Algebra

Scientific paper

In this paper, we establish, as a generalization of a result on the classical
homological dimensions of commutative rings, an upper bound on the Gorenstein
global dimension of commutative rings using the global cotorsion dimension of
rings. We use this result to compute the Gorenstein global dimension of some
particular cases of trivial extensions of rings and of group rings.

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