2016/11/15 by Joydip Saha, Saha, Joydip, Indranath Sengupta +3 · 1 citation
Computer Science · Engineering · Mathematics · #13C40 #13D02 (Primary) #13D07 (Secondary) #13P10 #Advanced Numerical Analysis Techniques #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:13C40 #msc:13D02 #msc:13D07 #msc:13P10
paper · pdf · doi:10.48550/arxiv.1611.04732
openalex publication_date 2016/11/15 · arxiv created 2018/05/08 · arxiv updated 2018/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we derive some conditions for transversal intersection of polynomial ideals. We exhibit some examples. Finally, as an application of the results proved, we compute the Betti numbers for ideals of the form I1(XY) + J, where X and Y are matrices and J is the ideal generated by the 2× 2 minors of the matrix consisting of any two rows of X.