Algebraic operads : an algorithmic companion /

This title presents a systematic treatment of Grobner bases in several contexts. It 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.

Bibliographic Details
Main Authors:	Bremner, Murray R. (Author), Dotsenko, Vladimir, 1981- (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton : Chapman and Hall/CRC, 2016.
Edition:	1st.
Series:	Online access with DDA: Askews (Maths)
Subjects:	Operads. Algebraic functions. Algebra. Opérades. Fonctions algébriques. Algèbre. algebra. Algebra Algebraic functions Operads Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

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.