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Ideals of the form I1(XY)

Article ID Journal Published Year Pages File Type
11008015 Journal of Symbolic Computation 2019 20 Pages PDF
Abstract
In this paper we compute Gröbner bases for determinantal ideals of the form I1(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.
Keywords
13D0213C4013P10Determinantal idealsBetti numbersprimaryGröbner basissecondary
Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
Preview
Ideals of the form I1(XY)
Authors
Joydip Saha, Indranath Sengupta, Gaurab Tripathi,
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Journal
Journal of Symbolic Computation
Journal: Journal of Symbolic Computation
Related Categories
13D02
13C40
13P10
Determinantal ideals
Betti numbers
primary
Gröbner basis
secondary
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