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...
Enregistré dans:
| Auteur principal: | |
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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 |
| Résumé: | 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 |
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| Description: | Description d'après consultation du 6 février 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783764388584 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |