TY - BOOK AU - Sapir,Mark V. AU - Guba,Victor S. AU - Volkov,Mikhail V. TI - Combinatorial algebra : syntax and semantics T2 - Springer monographs in mathematics SN - 9783319080307 U1 - 511.6 23 PY - 2014/// CY - New York : PB - Springer, KW - Combinatorial analysis. KW - Mathematics. KW - Group Theory and Generalizations N1 - Includes bibliographical references and indexes; 1. Main definitions and basic fact -- 2. Words that can be avoided -- 3. Semigroups -- 4. Rings -- 5. Groups-- References-- Name index-- Subject index N2 - 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 book extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including Ph.D. students. The book can also be used for self-study, engaging those beyond the classroom setting: researchers, instructors, students, virtually anyone who wishes to learn and better understand this important area of mathematics ER -