2006/10/10 by Takesi Kawasaki, Kawasaki, Takesi
Computer Science · Mathematics · #13D45 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras #math.AC #msc:13D45
paper · pdf · doi:10.48550/arxiv.math/0610312
6 pages
arxiv created 2006/10/10 · openalex publication_date 2006/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present article, the author shows that Faltings' annihilator theorem holds for any Noetherian ring A if A is universally catenary; all the formal fibers of all the localizations of A are Cohen-Macaulay; and the Cohen-Macaulay locus of each finitely generated A-algebra is open.