Ideals of the form I1(XY)

Tripathi, Gaurab

doi:10.1016/j.jsc.2018.06.011

Ideals of the form I1(XY)

Source

Journal of Symbolic Computation

ISSN

07477171

Date Issued

2019-03-01

Author(s)

Saha, Joydip

Sengupta, Indranath

Tripathi, Gaurab

DOI

10.1016/j.jsc.2018.06.011

Volume

91

Abstract

In this paper we compute Gröbner bases for determinantal ideals of the form I<inf>1</inf>(XY), 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.

Publication link

https://arxiv.org/pdf/1609.02765

URI

https://d8.irins.org/handle/IITG2025/22663

Subjects

Betti numbers | Completely irreducible systems | Determinantal ideals | Gröbner basis