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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 2, Pages 5–23
(Mi basm449)
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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
Abstract:
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.
Keywords and phrases:
associative ring, Lie algebra, Jordan algebra, alternative algebra, Malcev algebra, nonassociative algebra, PI-algebra, variety of algebras, Groebner–Shirshov basis, radical.
Received: 02.02.2017
Citation:
L. A. Bokut, “Early history of the theory of rings in Novosibirsk”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 2, 5–23
Linking options:
https://www.mathnet.ru/eng/basm449 https://www.mathnet.ru/eng/basm/y2017/i2/p5
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Abstract page: | 509 | Full-text PDF : | 376 | References: | 63 |
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