A.I. Kostrikin's Books

Around Burnside

By: A.I. Kostrikin

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Perhaps it is not inappropriate for me to begin with the comment that this book has been an interesting challenge to the translator. It is most unusual, in a text of this type, in that the style is racy, with many literary allusions and witticisms: not the easiest to translate, but a source of inspiration to continue through material that could daunt by its combinatorial complexity. Moreover, there have been many changes to the text during the translating period, reflecting the ferment that the subject of the restricted Burnside problem is passing through at present. I concur with Professor Kostrikin's "Note in Proof', where he describes the book as fortunate. I would put it slightly differently: its appearance has surely been partly instrumental in inspiring much endeavour, including such things as the paper of A. I. Adian and A. A. Razborov producing the first published recursive upper bound for the order of the universal finite group B(d,p) of prime exponent (the English version contains a different treatment of this result, due to E. I. Zel'manov); M. R. Vaughan-Lee's new approach to the subject; and finally, the crowning achievement of Zel'manov in establishing RBP for all prime-power exponents, thereby (via the classification theorem for finite simple groups and Hall-Higman) settling it for all exponents. The book is encyclopaedic in its coverage of facts and problems on RBP, and will continue to have an important influence in the area.

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231

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Springer Science & Business Media

Published Date

ISBN 10

3642743242

ISBN 13

9783642743245

Three Papers on Algebras and Their Representations

By: V. N. Gerasimov,N. G. Nesterenko,A. I. Valitskas

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Three Papers on Algebras and Their Representations

By: V. N. Gerasimov,N. G. Nesterenko,A. I. Valitskas

This book contains the doctoral dissertations of three students from Novosibirsk who participated in the seminar of L. A. Bokut'. The dissertation of Gerasimov focuses on Cohn's theory of noncommutative matrix localizations. Gerasimov presents a construction of matrix localization that is not directly related to (prime) matrix ideals of Cohn, but rather deals with localizations of arbitrary subsets of matrices over a ring. The work of Valitskas applies ideas and constructions of Gerasimov to embeddings of rings into radical rings (in the sense of Jacobson) to develop a theory essentially parallel to Cohn's theory of embeddings of rings into skew fields. Nesterenko's dissertation solves some important problems of Anan'in and Bergman about representations of (infinite-dimensional) algebras and categories in (triangular) matrices over commutative rings.

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226

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821875035

ISBN 13

9780821875032

Around Burnside

By: A.I. Kostrikin

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Around Burnside

By: A.I. Kostrikin

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231

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Springer Science & Business Media

Published Date

ISBN 10

3642743242

ISBN 13

9783642743245

Artificial Intelligence

A National Strategic Initiative

By: Tencent Research Institute,CAICT,Tencent AI Lab,Tencent open platform

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Artificial Intelligence

A National Strategic Initiative

By: Tencent Research Institute,CAICT,Tencent AI Lab,Tencent open platform

This book begins with the past and present of the subversive technology of artificial intelligence, clearly analyzes the overall picture, latest developments and development trends of the artificial intelligence industry, and conducts in-depth research on the competitive situation of various countries. The book also provides an in-depth analysis of the opportunities and challenges that artificial intelligence brings to individuals, businesses, and society. For readers who want to fully understand artificial intelligence, this book provides an important reference and is a must-read.

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322

Publisher

Springer Nature

Published Date

ISBN 10

9811565481

ISBN 13

9789811565489

On Rationality, Artificial Intelligence and Economics

By: Daniel Muller,Fernando Buarque,Tshilidzi Marwala

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On Rationality, Artificial Intelligence and Economics

By: Daniel Muller,Fernando Buarque,Tshilidzi Marwala

The world we live in presents plenty of tricky, impactful, and hard-to make decisions to be taken. Sometimes the available options are ample, at other times they are apparently binary, either way, they often confront us with dilemmas, paradoxes, and even denial of values. In the dawn of the age of intelligence, when robots are gradually taking over most decision making from humans, this book sheds a bit of light on decision rationale. It delves into the limits of these decision processes (for both humans and machines), and it does so by providing a new perspective that is somehow opposed to orthodox economics. All Economics reflections in this book are underlined and linked to Artificial Intelligence. The authors hope that this comprehensive and modern analysis, firmly grounded in the opinions of various ground-breaking Nobel laureate economists, may be helpful to a broad audience interested in how decisions may lead us all to flourishing societies. That is, societies in which economic blunders (caused by over simplification of problems and super estimation of tools) are reduced substantially"--

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Page Count

253

Published Date

ISBN 10

9811255121

ISBN 13

9789811255120

Book's by A.I. Kostrikin

Around Burnside

Around Burnside

Three Papers on Algebras and Their Representations

Three Papers on Algebras and Their Representations

Around Burnside

Around Burnside

Artificial Intelligence

Artificial Intelligence

On Rationality, Artificial Intelligence and Economics

On Rationality, Artificial Intelligence and Economics

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