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Operads And Universal Algebra - Proceedings Of The International Conference

2012-02-23 Mathematics
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Release : 2012-02-23
Genre : Mathematics
Kind : eBook
Book Rating : 333/5 ( reviews)

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Book Synopsis Operads And Universal Algebra - Proceedings Of The International Conference by : Chengming Bai

Download or read book Operads And Universal Algebra - Proceedings Of The International Conference written by Chengming Bai. This book was released on 2012-02-23. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.

Algebraic Operads

2016-04-06 Mathematics
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Release : 2016-04-06
Genre : Mathematics
Kind : eBook
Book Rating : 573/5 ( reviews)

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Book Synopsis Algebraic Operads by : Murray R. Bremner

Download or read book Algebraic Operads written by Murray R. Bremner. This book was released on 2016-04-06. Available in PDF, EPUB and Kindle. Book excerpt: This book 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. 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.

Homotopy of Operads and Grothendieck-Teichmuller Groups

2017-04-21 Mathematics
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Release : 2017-04-21
Genre : Mathematics
Kind : eBook
Book Rating : 814/5 ( reviews)

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Book Synopsis Homotopy of Operads and Grothendieck-Teichmuller Groups by : Benoit Fresse

Download or read book Homotopy of Operads and Grothendieck-Teichmuller Groups written by Benoit Fresse. This book was released on 2017-04-21. Available in PDF, EPUB and Kindle. Book excerpt: The Grothendieck–Teichmüller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphisms associated to the operad of little 2-discs, which is an object used to model commutative homotopy structures in topology. This volume gives a comprehensive survey on the algebraic aspects of this subject. The book explains the definition of an operad in a general context, reviews the definition of the little discs operads, and explains the definition of the Grothendieck–Teichmüller group from the viewpoint of the theory of operads. In the course of this study, the relationship between the little discs operads and the definition of universal operations associated to braided monoidal category structures is explained. Also provided is a comprehensive and self-contained survey of the applications of Hopf algebras to the definition of a rationalization process, the Malcev completion, for groups and groupoids. Most definitions are carefully reviewed in the book; it requires minimal prerequisites to be accessible to a broad readership of graduate students and researchers interested in the applications of operads.

Finite Semigroups And Universal Algebra

1995-01-27 Mathematics
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Release : 1995-01-27
Genre : Mathematics
Kind : eBook
Book Rating : 565/5 ( reviews)

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Book Synopsis Finite Semigroups And Universal Algebra by : Jorge Almeida

Download or read book Finite Semigroups And Universal Algebra written by Jorge Almeida. This book was released on 1995-01-27. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.

Operads and Universal Algebra

2012 Mathematics
Download Operads and Universal Algebra PDF Online Free

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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 114/5 ( reviews)

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Book Synopsis Operads and Universal Algebra by : Chengming Bai

Download or read book Operads and Universal Algebra written by Chengming Bai. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.

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