1. Normal forms for vectors and univariate polynomials -- 2. Noncommutative associative algebras -- 3. Nonsymmetric operads -- 4. Twisted associative algebras and shuffle algebras -- 5. Symmetric operads and shuffle operads -- 6. Operadic homological algebra and Gröbner bases -- 7. Commutative Gröbner bases -- 8. Linear algebra over polynomial rings -- 9. Case study of nonsymmetric binary cubic operads -- 10. Case study of nonsymmetric ternary quadratic operads
Summary
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
Notes
"A Chapman & Hall book."
Bibliography
Includes bibliographical references (343-361)
Notes
Online resource; title from PDF title page (EBSCO, viewed April 6, 2016)