2009/10/29 by Najib Mahdou, Mahdou, Najib, Mohammed Tamekkante +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.0910.5752
openalex publication_date 2009/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we characterize the (resp., weak) Gorenstein global dimension for an arbitrary ring. 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 of finite Gorenstein dimensions >0 and infinite classical weak dimension.