2009/01/24 by Nguyễn Tiến Mạnh, Manh, Nguyen Tien, Duong Quôc Việt +1 · 1 citation
Computer Science · Mathematics · #13H15 #Coding theory and cryptography #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.0901.3825
openalex publication_date 2009/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let S be a finitely generated standard multigraded algebra over an Artinian local ring A; M a finitely generated multigraded S-module. This paper answers to the question when mixed multiplicities of M are positive and characterizes them in terms of lengths of A-modules. As an application, we get results on mixed multiplicities of ideals (Proposition 4.4 and Theorem 4.5), and recover the results of Risler and Teissier [Te](see Remark 4.8), Trung and Verma [TV](see Remark 4.6).