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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
Operadic Homological Algebra and Gröbner Bases 197
where the second term is immediately reduced to
(1)
N(j1)+N(i1)+N (i1)
µ
N
N
(µ
2
2
(µ
N
N
(µ
2
2
µ
N
))) =
= (1)
N(j1)
µ
N
N
(µ
2
2
(µ
N
N
(µ
2
2
µ
N
))),
using the relation R
i,1
twice, while the first term is reduced to the same result
through a lengthier sequence of reductions (depending on i+j being less than,
equal to, or greater than N).
The small common multiple (µ
N
i
(µ
2
2
µ
N
))
i
µ
2
of the leading monomial
of the relation R
i,1
with the leading monomial of the left-hand side of (6.1)
creates an S-polynomial that can be reduced to R
i,2
, and hence can be reduced
to zero using our candidate for the reduced Gröbner basis. ...
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Publisher Resources

ISBN: 9781482248579