2012/07/12 by Le Van Dinh, Van Dinh, Le, Nguyen Tien Manh +3
Mathematics · #13C15 #13D40 #14C17 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13H15. Secondary 13C13 #math.AC #msc:13C13 #msc:13C15 #msc:13D40 #msc:13H15. #msc:14C17
paper · pdf · doi:10.48550/arxiv.1207.2850
9 pages
arxiv created 2013/09/20 · arxiv updated 2013/09/23
The paper proves that the superficial sequences in [13, 15, 16, 25] are the weak-(FC)-sequences in [18]. This follows that [18, Theorem 3.4] of Viet in 2000 covers the results of Risler and Teissier [13] in 1973; Trung [15, Theorem 3.4] in 2001; Trung and Verma [16, Theorem 1.4] in 2007. The paper unified the results for mixed multiplicities of ideals in [13, 15, 16, 17, 18, 25].