2008/01/03 by Driss Bennis, Bennis, Driss, Najib Mahdou +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.0801.0483
openalex publication_date 2008/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.