ABSTRACT

Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Grobner bases in several contexts. The book builds up to the theory of Grobner 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: non

chapter |8 pages

Introduction

chapter 2|50 pages

Noncommutative Associative Algebras

chapter 3|46 pages

Nonsymmetric Operads

chapter 5|46 pages

Symmetric Operads and Shuffle Operads

chapter 7|32 pages

Commutative Gröbner Bases

chapter 8|28 pages

Linear Algebra over Polynomial Rings