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math.RA2013★ 9 cited
The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3
Galina Deryabina, Alexei Krasilnikov
Let be the free unital associative ring freely generated by an infinite countable set . Define a left-normed commutator $[x_…
math.RA2013
A 5-Engel associative algebra whose group of units is not 5-Engel
Galina Deryabina, Alexei Krasilnikov
Let R be an associative ring with unity and let [R] and U(R) denote the associated Lie ring (with [a,b]=ab-ba) and the group of units of R, respectively. In 1983 Gupta and Levin pr…