chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2020-21-3-89-128cheb-854Research ArticleСтатьиArticleТеорема Размыслова - Кемера - Брауна для афинных PI-алгебрThe Braun–Kemer–Razmyslov Theorem for affine PI-algebrasКанель-БеловАлександр ЯковлевичKanel BelovAlexei
доктор физико-математических наук, федеральный профессор математики MIPT, профессор
doctor of physical and mathematical sciences, federal professor MIPT,professor
kanelster@gmail.comХаллиРоуэн ЛуисRowenLouiskanelster@gmail.comУниверситет им. Бар-ИланаИзраильBar Ilan UniversityIsrael20202812202021389128Copyright © Канель-Белов А.Я., Халли Р.Л., 20202020Канель-Белов А.Я., Халли Р.Л.Kanel Belov A., Rowen L.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/854алгебры с полиномиальными тождествамимногообразия алгебрпредставимые алгебрыотносительно свободные алгебрыРяды ГильбертаПроблема Шпехтаalgebras with polynomial identityvarieties of algebrasrepresentable algebrasrelatively free algebrasHilbert seriesSpecht problemА.Я.Белов был поддержан РНФ (грант 17-11-01377), Л.Роуэн ISF 1623/16ReferencesS.A. Amitsur, A generalization of Hilbert Nullstellensatz, Proc. Amer. Math. Soc. {bf 8} (1957) 649-656.S.A. Amitsur, A generalization of Hilbert Nullstellensatz, Proc. Amer. Math. Soc. {\bf 8} (1957) 649-656.S.A. 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The authors declare that there are no conflicts of interest present.