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CRC Press Algebraic Operads: An Algorithmic Companion

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Description

Algebraic Operads: An Algorithmic Companion provides a systematic treatment of Groebner bases across several mathematical contexts. Published by CRC Press, this text builds toward the theory of Groebner bases for operads developed by the authors and Khoroshkin. It serves as a technical resource for mathematicians studying the application of diamond lemmas in algebra. The book covers a wide range of essential topics. Readers will find detailed sections on noncommutative Groebner bases and their role in constructing universal enveloping algebras. It also explores Groebner bases for shuffle algebras, which offer solutions to questions regarding the combinatorics of permutations. Finally, the text addresses operadic Groebner bases, which are important for advanced algebraic research. This volume is designed for those seeking a structured, algorithmic approach to complex algebraic structures.

Key Features

Systematic treatment of Groebner bases across various mathematical contexts for researchers.

Covers noncommutative Groebner bases and their use in constructing universal enveloping algebras.

Includes Groebner bases for shuffle algebras to help solve permutation combinatorics questions.

Provides detailed instruction on operadic Groebner bases for advanced algebraic study.

Explores various applications of diamond lemmas within the field of algebra.

Developed by experts including the second author and Khoroshkin for technical accuracy.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
28 April 2016
Listed Since
07 September 2015

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