2004/04/08 by Tirdad Sharif, Siamak Yassemi, Sharif, Tirdad +1
Mathematics · #13D05 #13D25 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13D05 #msc:13D25
paper · pdf · doi:10.48550/arxiv.math/0404182
10 pages
arxiv created 2004/04/08 · openalex publication_date 2004/04/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (R,\fm) be commutative Noetherian local ring. It is shown that R is Cohen--Macaulay ring if there exists a Cohen--Macaulay finite (i.e. finitely generated) R--module with finite upper Gorenstein dimension. In addition, we show that, in the Intersection Theorem, projective dimension can be replaced by quasi--projective dimension.