Anatoly Ivanovich Maltsev (Malcev)
: Анато́лий Ива́нович Ма́льцев 27 November N.S.
/14 November O.S.
1909 - 7 June 1967) was born in Misheronsky, near Moscow
, and died in Novosibirsk
. He was a mathematician
noted for his work on the decidability
of various algebraic groups
. Malcev algebras
(generalisations of Lie algebras
) are named after him.
At school, Maltsev demonstrated an aptitude for mathematics, and when he left school in 1927, he went to Moscow State University
to study Mathematics
. While he was there, he started teaching in a secondary school in Moscow. After graduating in 1931, he continued his teaching career and in 1932 was appointed as an assistant at the Ivanovo Pedagogical Institute
located in Ivanovo
, near Moscow.
Whilst teaching at Ivanovo, Maltsev made frequent trips to Moscow to discuss his research with Kolmogorov
. Maltsev's first publications were on logic
and model theory
. Kolmogorov soon invited him to join his graduate programme at Moscow University, and, maintaining his post at Ivanovo, Maltsev effectively became Kolmogorov's student.
In 1937, Maltsev published a paper on the embeddability of a ring
in a field
. Two years later, he published a second paper where he gave necessary and sufficient conditions for a semigroup
to be embeddable in a group
Between 1939 and 1941, he studied for his doctorate at the Steklov Institute
of the USSR Academy of Sciences
, with a dissertation on the Structure of......