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Library,Documentation and Information Science Division

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Combinatorial algebra : syntax and semantics / Mark V. Sapir, contributed by Victor S. Guba and Mikhail V. Volkov.

By: Contributor(s): Material type: TextTextSeries: Springer monographs in mathematicsPublication details: New York : Springer, 2014.Description: xvi, 355 p. : illustrations ; 24 cmISBN:
  • 9783319080307
Subject(s): DDC classification:
  • 511.6 23 Sa241
Contents:
1. Main definitions and basic fact -- 2. Words that can be avoided -- 3. Semigroups -- 4. Rings -- 5. Groups-- References-- Name index-- Subject index.
Summary: 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.
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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.

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.

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