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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, номер 2, страницы 5–23 (Mi basm449)

Survey articles

Early history of the theory of rings in Novosibirsk

L. A. Bokut

Sobolev Institute of Mathematics, Russian Academy of Sciences Siberian Branch, Novosibirsk 630090, Russia

Аннотация: It is a note on early history of ring theory in Novosibirsk. We mostly cover the first 10–15 years of the existence of the A. I. Malcev department of algebra and mathematical logic and A. I. Shirshov (1921–1981) laboratory of ring theory at the Sobolev Institute of Mathematics. By all means, this note is far from being complete, see also a survey by L. A. Bokut, I. P. Shestakov [16]. This article is written in a cooperation with E. N. Kuzmin (1938–2011) who was the active participant of events discussed below.

Ключевые слова и фразы: associative ring, Lie algebra, Jordan algebra, alternative algebra, Malcev algebra, nonassociative algebra, PI-algebra, variety of algebras, Groebner–Shirshov basis, radical.

MSC: 17

Поступила в редакцию: 02.02.2017

Язык публикации: английский



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