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Algebraic Operads: An Algorithmic Companion

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by Murray R. Bremner & Vladimir Dotsenko
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Algebraic Operads: An Algorithmic Companion by Murray R. Bremner & Vladimir Dotsenko

Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory of Gröbner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra.

The authors present a variety of topics including: noncommutative Gröbner bases and their applications to the construction of universal enveloping algebras; Gröbner bases for shuffle algebras which can be used to solve questions about combinatorics of permutations; and operadic Gröbner bases, important for applications to algebraic topology, and homological and homotopical algebra.

The last chapters of the book combine classical commutative Gröbner bases with operadic ones to approach some classification problems for operads. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and exercises are provided to clarify and illustrate the concrete meaning of abstract theor

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Ebook Details
Pages: 365
Size: 7.3 MB
Publisher: Chapman and Hall/CRC
Date published:   2016
ISBN: 9781482248579 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Number Theory

These authors have products in the following categories:

Nonfiction > Computers > Security
Nonfiction > Computers > Programming > Algorithms
Nonfiction > Mathematics > Number Theory
Nonfiction > Mathematics > Algebra

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