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Algebraic Operads
book

Algebraic Operads

by Murray R. Bremner, Vladimir Dotsenko
April 2016
Intermediate to advanced content levelIntermediate to advanced
383 pages
11h 46m
English
Chapman and Hall/CRC
Content preview from Algebraic Operads
322 Algebraic Operads: An Algorithmic Companion
to our surprise that these computations illustrate the remarkable effectiveness
of the plex order in certain cases. We computed Gröbner bases for both the
ideal and its radical, and the zero sets in both cases, for all ranks r 9, using
a Lenovo ThinkCentre. The sets of original generators of the determinantal
ideals, namely the r × r minors, had the following sizes, after removing zero
polynomials and making remaining polynomials monic:
minors: 18, 123, 560, 1821, 4069, 5951, 5297, 2473, 420.
Using the plex order, the Gröbner bases of ideal and radical have these sizes:
order ideal radical
a b 3, 5,
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Publisher Resources

ISBN: 9781482248579