عنوان

Algebraic operads :

شابک

1482248565

شابک

1482248573

شابک

9781482248562

شابک

9781482248579

شماره

b575028

عنوان اصلي

Algebraic operads :

نام عام مواد

[Book]

ساير اطلاعات عنواني

an algorithmic companion

نام نخستين پديدآور

Murray R. Bremner and Vladimir Dotsenko.

وضعيت ويراست

1st

محل نشرو پخش و غیره

Boca Raton

نام ناشر، پخش کننده و غيره

Chapman & Hall/CRC

تاریخ نشرو بخش و غیره

2016. ©20

نام خاص و کميت اثر

: illustrations (black and white)

عنوان فروست

Online access with DDA: Askews (Maths)

متن يادداشت

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.

متن يادداشت

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.Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Grbner bases in several contexts. The book builds up to the theory of Grbner 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: noncommutative Grbner bases and their applications to the construction of universal enveloping algebras; Grbner bases for shuffle algebras which can be used to solve questions about combinatorics of permutations; and operadic Grbner bases, important for applications to algebraic topology, and homological and homotopical algebra. The last chapters of the book combine classical commutative Grbner bases with operadic ones to approach some classification problems for operads. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and exercises are provided to clarify and illustrate the concrete meaning of abstract theory.

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Algebraic functions.

موضوع مستند نشده

Operads.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Murray R. Bremner and Vladimir Dotsenko.

مستند نام اشخاص تاييد نشده

Murray R Bremner

مستند نام اشخاص تاييد نشده

Vladimir Dotsenko

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y