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008 | 150903s2009 sz | o |||| 0|eng d | ||
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_a9783764388584 _99783764388584 |
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024 | 7 |
_a10.1007/9783764388584 _2doi |
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_a201509030651 _bVLOAD _c201405070337 _dVLOAD _y201402211136 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA1-939 | |
100 | 1 |
_aBokut, Leonid. _eeditor. _9349954 |
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245 | 1 | 0 |
_aSelected Works of A.I. Shirshov / _cedited by Leonid Bokut, Ivan Shestakov, Victor Latyshev, Efim Zelmanov. |
264 | 1 |
_aBasel : _bBirkhäuser Basel, _c2009. |
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300 |
_aviii, 250 páginas _brecurso en línea. |
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_atexto _btxt _2rdacontent |
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_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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490 | 0 | _aContemporary Mathematicians | |
500 | _aSpringer eBooks | ||
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. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
700 | 1 |
_aShestakov, Ivan. _eeditor. _9349955 |
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700 | 1 |
_aLatyshev, Victor. _eeditor. _9349956 |
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700 | 1 |
_aZelmanov, Efim. _eeditor. _9349957 |
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710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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776 | 0 | 8 |
_iEdición impresa: _z9783764388577 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-8858-4 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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