{"product_id":"algebraic-operads-an-algorithmic-companion-9781482248562","title":"Algebraic Operads: An Algorithmic Companion","description":"\u003cp\u003e • Author(s): Murray R. Bremner\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Algebra - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAlgebraic Operads: An Algorithmic Companion\u003c\/strong\u003e presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory of Gröbner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. \u003c\/p\u003e\u003cp\u003eThe authors present a variety of topics including: noncommutative Gröbner bases and their applications to the construction of universal enveloping algebras; Gröbner bases for shuffle algebras which can be used to solve questions about combinatorics of permutations; and operadic Gröbner bases, important for applications to algebraic topology, and homological and homotopical algebra. \u003c\/p\u003e\u003cp\u003eThe last chapters of the book combine classical commutative Gröbner 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Hardcover","offer_id":45237479407767,"sku":"9781482248562","price":15528.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781482248562.webp?v=1769216685","url":"https:\/\/atlanticbooks.com\/products\/algebraic-operads-an-algorithmic-companion-9781482248562","provider":"Atlantic Books","version":"1.0","type":"link"}