Bremner M. Algebraic Operads. An Algorithmic Companion 2016 torrent

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This book is intended as an introduction to concrete methods for working with associative structures of all sorts, most notably commutative associative algebras, noncommutative associative algebras, and operads. The first two are very well known; the third is an algebraic device that captures properties exhibited by substitutions of operations with several arguments into one another (and of course these compositions of operations are associative). In each of these cases, an object is often presented by generators and relations: commutative associative algebras are quotients of algebras of commutative polynomials, noncommutative associative algebras are quotients of tensor algebras, where elements are linear combinations of noncommutative monomials, or words, and operads are quotients of free operads, where elements are combinations of monomials shaped in the form of a tree