2012/06/26 by Nguyen Tu Cuong, Cuong, Nguyen Tu, Shirô Gotô +4
Computer Science · Mathematics · #13A30 #13B22 #13H10 #13H15 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:13A30 #msc:13B22 #msc:13H10 #msc:13H15
paper · pdf · doi:10.48550/arxiv.1206.5879
18 pages, To appear in JPAA
openalex publication_date 2012/06/26 · arxiv created 2012/06/27 · arxiv updated 2012/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this paper is to present a characterization of sequentially Cohen-Macaulay modules in terms of its Hilbert coefficients with respect to distinguished parameter ideals. The formulas involve arithmetic degrees. Among corollaries of the main result we obtain a short proof of Vasconcelos Vanishing Conjecture for modules and an upper bound for the first Hilbert coefficient.