Selected works of A.I. Shirshov
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 G...
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| Autres auteurs: | , , |
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Basel :
Birkhäuser Basel : Springer e-books
[20..].
Cham : Springer Nature |
| Collection: | Mathematics and Statistics
Contemporary Mathematicians |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 6 février 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Selected works of A. I. Shirshov, Leonid A. Bokut, Victor Latyshev, Ivan Shestakov... [et al.], editors, Basel, Birkhäuser, 2009, 1 vol. (VI-242 p.), Contemporary mathematicians, 978-3-7643-8857-7 |
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| 020 | |a 9783764388584 | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 01A75. 2000 | ||
| 084 | |a 17-06. 2000 | ||
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| 100 | 1 | |a Širšov, Anatolij Illarionović, |d 1921-1981. | |
| 245 | 1 | 0 | |a Selected works of A.I. Shirshov |c Leonid Bokut, Ivan Shestakov, Victor Latyshev... [et al.] editors. |
| 260 | |a Basel : |b Birkhäuser Basel : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Mathematics and Statistics | |
| 490 | 0 | |a Contemporary Mathematicians | |
| 500 | |a Description d'après consultation du 6 février 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | |a Algèbre | ||
| 700 | 1 | |a Shestakov, Ivan Pavlovich, |d 1947- |4 edt | |
| 700 | 1 | |a Latyshev, Victor. |4 edt | |
| 700 | 1 | |a Zelmanov, Efim, |d 1955- |4 edt | |
| 776 | 0 | |0 137085257 |t Selected works of A. I. Shirshov |f Leonid A. Bokut, Victor Latyshev, Ivan Shestakov... [et al.], editors |c Basel |n Birkhäuser |d 2009 |p 1 vol. (VI-242 p.) |s Contemporary mathematicians |z 978-3-7643-8857-7 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-8858-4 |z Accès sur la plateforme de l'éditeur | |
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| 856 | 4 | |5 180339901:750857900 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-7643-8858-4 |z Accès INSA CVL | |
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