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Titlebook: Combinatorial Algebra: Syntax and Semantics; Mark V. Sapir Textbook 2014 Springer International Publishing Switzerland 2014 Burnside-type

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發(fā)表于 2025-3-21 18:59:03 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Combinatorial Algebra: Syntax and Semantics
編輯Mark V. Sapir
視頻videohttp://file.papertrans.cn/230/229871/229871.mp4
概述Contains proofs of more than 20 classical and modern results about Burnside properties, growth, finite basis property, automata, amenability, etc.The book is self-contained; no prerequisites beyond th
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Combinatorial Algebra: Syntax and Semantics;  Mark V. Sapir Textbook 2014 Springer International Publishing Switzerland 2014 Burnside-type
描述.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
出版日期Textbook 2014
關(guān)鍵詞Burnside-type problems; Novikov–Adian theorem; amenable groups; combinatorics on words; semigroups; symbo
版次1
doihttps://doi.org/10.1007/978-3-319-08031-4
isbn_softcover978-3-319-37590-8
isbn_ebook978-3-319-08031-4Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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Textbook 2014nts 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
板凳
發(fā)表于 2025-3-22 03:50:13 | 只看該作者
Rings, the Dubnov–Ivanov–Nagata–Higman theorem about associative algebras satisfying the identity . .?=?0. Unlike semigroups, associative rings satisfying this identity are nilpotent. But there exist finitely generated non-nilpotent associative nil-algebras, and we describe the classical example of such an algebra constructed by Golod.
地板
發(fā)表于 2025-3-22 06:44:58 | 只看該作者
Advances in Conceptual Modelingts in group theory of the 20th century. Its initial proof occupied more than 300 pages and was extremely complicated. Olshanskii managed to find a much simpler proof (for much bigger .). Our road map explains the main ideas and “points of interest” of Olshanskii’s proof.
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Advances in Conceptual Modeling the Dubnov–Ivanov–Nagata–Higman theorem about associative algebras satisfying the identity . .?=?0. Unlike semigroups, associative rings satisfying this identity are nilpotent. But there exist finitely generated non-nilpotent associative nil-algebras, and we describe the classical example of such an algebra constructed by Golod.
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