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.