Combinatorial Algebra: Syntax and Semantics

Nonfiction, Science & Nature, Mathematics, Combinatorics, Algebra
Cover of the book Combinatorial Algebra: Syntax and Semantics by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov ISBN: 9783319080314
Publisher: Springer International Publishing Publication: October 6, 2014
Imprint: Springer Language: English
Author: Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
ISBN: 9783319080314
Publisher: Springer International Publishing
Publication: October 6, 2014
Imprint: Springer
Language: English

Combinatorial Algebra: Syntax and Semantics provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of  more than 20 fundamental results, both classical and modern. This includes Golod–Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass–Guivarc'h theorem about growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several ``universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata.

 

With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience.  No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this textbook extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the  “Further reading and open problems” sections at the end of Chapters 2 –5.

 

The book can also be used for self-study, engaging those beyond t

he classroom setting: researchers, instructors, students, virtually anyone who wishes to learn and better understand this important area of mathematics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Combinatorial Algebra: Syntax and Semantics provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of  more than 20 fundamental results, both classical and modern. This includes Golod–Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass–Guivarc'h theorem about growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several ``universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata.

 

With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience.  No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this textbook extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the  “Further reading and open problems” sections at the end of Chapters 2 –5.

 

The book can also be used for self-study, engaging those beyond t

he classroom setting: researchers, instructors, students, virtually anyone who wishes to learn and better understand this important area of mathematics.

More books from Springer International Publishing

Cover of the book Orthopedic Surgery Clerkship by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Cyber Racism and Community Resilience by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Social Movements, Memory and Media by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Inflammation and Oxidative Stress in Neurological Disorders by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Computer Vision – ECCV 2018 by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Bridging the Gap between Life and Physics by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Exact Design of Digital Microfluidic Biochips by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book International Yearbook of Soil Law and Policy 2017 by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Shaping the EU Global Strategy by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book The Fractal Dimension of Architecture by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Textbook of Head and Neck Pathology by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book High Calorie Diet and the Human Brain by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Trustworthy Global Computing by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Multiple Helix Ecosystems for Sustainable Competitiveness by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
Cover of the book Studies on Montesquieu - Mapping Political Diversity by Mark V. Sapir, Victor S. Guba, Mikhail V. Volkov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy