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100301s2009 sz | s |||| 0|eng d |
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|a 9783764388584
|9 978-3-7643-8858-4
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|a 10.1007/978-3-7643-8858-4
|2 doi
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|a QA1-939
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|a PB
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|a MAT000000
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|a 510
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|a Bokut, Leonid.
|e editor.
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|a Selected Works of A.I. Shirshov
|c edited by Leonid Bokut, Ivan Shestakov, Victor Latyshev, Efim Zelmanov.
|h [electronic resource] /
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| 264 |
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1 |
|a Basel :
|b Birkhũser Basel,
|c 2009.
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| 300 |
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|a VIII, 250 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
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|a Contemporary Mathematicians
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|a From the contents: 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 -- Some algorithmic problems for e-algebras -- Some algorithmic problems for Lie algebras -- On a hypothesis in the theory of Lie algebras -- On the bases of a free Lie algebra -- 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 (with A.A. Nikitin). Commentaries: Perspectives on Shirshov<U+0019>s Height Theorem -- On Shirshov<U+0019>s Papers for Lie Algebra -- Some of A.I. Shirshov<U+0019>s Works -- Comments on Shirshov<U+0019>s Height Theorem -- Shirshov<U+0019>s Works on Alternative and Jordan Algebras -- A Word about the Teacher.
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|a This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921<U+0013>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 Grb̲ner-Shirshov bases, the Composition-Diamond Lemma, the Shirshov-Witt Theorem, the Lazard-Shirshov elimination process, Shirshov<U+0019>s Height Theorem, Lyndon-Shirshov words, Hall-Shirshov bases, Shirshov<U+0019>s theorem on the Kurosh problem for alternative and Jordan algebras, and Shirshov<U+0019>s theorem on the speciality of Jordan algebras with two generators. Shirshov<U+0019>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<U+0019>s work on current algebra.
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|a Mathematics.
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|a Mathematics_$xHistory.
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|a Mathematics.
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|a Mathematics, general.
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| 650 |
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|a History of Mathematics.
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| 700 |
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|a Shestakov, Ivan.
|e editor.
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| 700 |
1 |
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|a Latyshev, Victor.
|e editor.
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| 700 |
1 |
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|a Zelmanov, Efim.
|e editor.
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| 710 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783764388577
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| 830 |
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|a Contemporary Mathematicians
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| 856 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8858-4
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|