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

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dc.creatorBennis, Driss
dc.creatorMahdou, Najib
dc.date2008-01-03
dc.date.accessioned2026-07-07T08:52:18Z
dc.date.available2026-07-07T08:52:18Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/0801.0483
dc.identifierhttp://arxiv.org/abs/0801.0483
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145234
dc.subjectCommutative Algebra
dc.titleGlobal Gorenstein dimensions of polynomial rings and of direct products of rings
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