000			03591nam a22004815i 4500
001			978-3-7643-8858-4
003			DE-He213
005			20160302165107.0
007			cr nn 008mamaa
008			100301s2009 sz | s |||| 0|eng d
020			_a9783764388584 _9978-3-7643-8858-4
024	7		_a10.1007/978-3-7643-8858-4 _2doi
050		4	_aQA1-939
072		7	_aPB _2bicssc
072		7	_aMAT000000 _2bisacsh
082	0	4	_a510 _223
245	1	0	_aSelected Works of A.I. Shirshov _h[electronic resource] / _cedited by Leonid Bokut, Ivan Shestakov, Victor Latyshev, Efim Zelmanov.
264		1	_aBasel : _bBirkhäuser Basel, _c2009.
300			_aVII, 242 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aContemporary Mathematicians
505	0		_aPublications 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			_aThis 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	_aMathematics.
650		0	_aHistory.
650	1	4	_aMathematics.
650	2	4	_aMathematics, general.
650	2	4	_aHistory of Mathematical Sciences.
700	1		_aBokut, Leonid. _eeditor.
700	1		_aShestakov, Ivan. _eeditor.
700	1		_aLatyshev, Victor. _eeditor.
700	1		_aZelmanov, Efim. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783764388577
830		0	_aContemporary Mathematicians
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-7643-8858-4
912			_aZDB-2-SMA
999			_c188137 _d188137