Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Early History of the Theory of Rings in Novosibirsk
Authors: L. A. Bokut
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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.Sobolev Institute of Mathematics
Russian Academy of Sciences Siberian Branch
Novosibirsk 630090, Russia
E-mail:
Russian Academy of Sciences Siberian Branch
Novosibirsk 630090, Russia
E-mail:
Fulltext
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Contents
- Vladimir A. Andrunachievici (1917 - 1997)
- Early History of the Theory of Rings in Novosibirsk
- Pretorsions in modules and associated closure operators
- Properties of accessible subrings of pseudonormed rings when taking quotient rings
- Radicals and generalizations of derivations
- Some examples of topological modules
- Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring
- On the inverse operations in the class of preradicals of a module category, II
- On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals
- The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree
