Combinatorial Algebra: Syntax and Semantics - Couverture rigide

Sapir, Mark V.

 
9783319080307: Combinatorial Algebra: Syntax and Semantics
Couverture rigide
ISBN 10 : 331908030X ISBN 13 : 9783319080307
Editeur : Springer International Publishing AG, 2014

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Mark V. Sapir is a Centennial Professor of Mathematics at Vanderbilt University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2014
Langue
anglais
ISBN 10 
331908030X
ISBN 13 
9783319080307
Reliure
Relié
Nombre de pages
371
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
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Hamburg
Allemagne

Autres éditions populaires du même titre

9783319375908: Combinatorial Algebra: Syntax and Semantics

Edition présentée

ISBN 10 :  3319375903 ISBN 13 :  9783319375908
Editeur : Springer, 2016
Couverture souple