Ideals of the form I1(XY). (March 2019)

• Record Type: Journal Article
• Authors: Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab
• Is Part Of: Journal of symbolic computation. Volume 91(2019)
• Page Start: 17
• Page End: 29
• Publication Date: 2019-03
• Subjects: primary 13P10 -- secondary 13C40 13D02; Gröbner basis -- Betti numbers -- Determinantal ideals -- Completely irreducible systems; 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.2018.06.011
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: In this paper we compute Gröbner bases for determinantal ideals of the form I 1 ( X Y ), where X and Y are both matrices whose entries are indeterminates over a field K . We use the Gröbner basis structure to determine Betti numbers for such ideals.