On (weak) Gorenstein global dimensions
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Abstract
In this note, we characterize the (weak) Gorenstein global dimension for arbitrary associative rings. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein global dimension, and we study the weak Gorenstein homological dimensions of direct product of rings which gives examples of non-coherent rings with finite Gorenstein dimensions > 0 and infinite classical weak dimension.
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Mahdou, N., & Tamekkante, M.
(2017).
On (weak) Gorenstein global dimensions.
Acta Mathematica Universitatis Comenianae, 82(2), 285-296.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/747/502
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