On the primary decomposition of some determinantal hyperedge ideal. (March 2021)

• Record Type: Journal Article
• Authors: Pfister, Gerhard; Steenpaß, Andreas
• Is Part Of: Journal of symbolic computation. Volume 103(2021)
• Page Start: 14
• Page End: 21
• Publication Date: 2021-03
• Subjects: Primary decomposition -- Determinantal ideal; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2019.10.021
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: In this paper we describe the method which we applied to successfully compute the primary decomposition of a certain ideal coming from applications in combinatorial algebra and algebraic statistics regarding conditional independence statements with hidden variables. While our method is based on the algorithm for primary decomposition by Gianni, Trager and Zacharias, we were not able to decompose the ideal using the standard form of that algorithm, nor by any other method known to us.