MARC details
000 -LEADER |
fixed length control field |
03591nam a22004815i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-7643-8858-4 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20160302165107.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2009 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783764388584 |
-- |
978-3-7643-8858-4 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/978-3-7643-8858-4 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA1-939 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PB |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT000000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
510 |
Edition number |
23 |
245 10 - TITLE STATEMENT |
Title |
Selected Works of A.I. Shirshov |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
edited by Leonid Bokut, Ivan Shestakov, Victor Latyshev, Efim Zelmanov. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Basel : |
Name of producer, publisher, distributor, manufacturer |
Birkhäuser Basel, |
Date of production, publication, distribution, manufacture, or copyright notice |
2009. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
VII, 242 p. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Contemporary Mathematicians |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Publications of A.I. Shirshov -- Subalgebras of Free Lie Algebras -- On the Representation of Lie Rings in Associative Rings -- Subalgebras of Free Commutative and Free Anticommutative Algebras -- On Special J-rings -- Some Theorems on Embedding of Rings -- On some Nonassociative Nil-rings and Algebraic Algebras -- On Rings with Identical Relations -- On Free Lie Rings -- On a Problem of Levitzki -- Some Problems in the Theory of Rings that are Nearly Associative -- On the Bases of a Free Lie Algebra -- Some Algorithmic Problems for ?-algebras -- Some Algorithmic Problems for Lie Algebras -- On a Hypothesis in the Theory of Lie Algebras -- On Some Groups which are Nearly Engel -- On Some Identical Relations for Algebras -- On Some Positively Definable Varieties of Groups -- On the Definition of the Binary-Lie Property -- On the Theory of Projective Planes -- Commentaries -- Perspectives on Shirshov’s Height Theorem -- On Shirshov’s Papers for Lie Algebras -- Some of A.I. Shirshov’s works -- Comments on Shirshov’s Height Theorem -- A.I. Shirshov’s Works on Alternative and Jordan Algebras -- A Word about the Teacher. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921–1981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groups and projective planes. His name is associated with notions and results on Gröbner-Shirshov bases, the Composition-Diamond Lemma, the Shirshov-Witt Theorem, the Lazard-Shirshov elimination process, Shirshov’s Height Theorem, Lyndon-Shirshov words, Hall-Shirshov bases, Shirshov’s theorem on the Kurosh problem for alternative and Jordan algebras, and Shirshov’s theorem on the speciality of Jordan algebras with two generators. Shirshov’s ideas were used by his student Efim Zelmanov for the solution of the Restricted Burnside Problem. Several famous algebraists provide in this book detailed comments on the impact of Shirshov’s work on current algebra. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
History. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics, general. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
History of Mathematical Sciences. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Bokut, Leonid. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Shestakov, Ivan. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Latyshev, Victor. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Zelmanov, Efim. |
Relator term |
editor. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783764388577 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Contemporary Mathematicians |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-3-7643-8858-4">http://dx.doi.org/10.1007/978-3-7643-8858-4</a> |
912 ## - |
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ZDB-2-SMA |