Global Gorenstein dimensions of polynomial rings and of direct products of rings
classification
🧮 math.AC
keywords
ringsdimensionsgorensteindirecthomologicalproductsclassicaldimension
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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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