14 citations · 44 across the 30 of their papers we have counts for
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math.AG2014
Associative, Lie, and left-symmetric algebras of derivations
Ualbai Umirbaev
Let be the polynomial algebra over a field of characteristic zero in the variables and be the left-symmetric al…
math.AG2014
Polarization algebras and their relations
Ualbai Umirbaev
Using an approach to the Jacobian Conjecture by L.M. Drużkowski and K. Rusek 12], G. Gorni and G. Zampieri [19], and A.V. Yagzhev[27], we describe a correspondence between finite d…
math.RA2014★ 1 cited
Left-symmetric algebras of derivations of free algebras
Ualbai Umirbaev
A structure of a left-symmetric algebra on the set of all derivations of a free algebra is introduced such that its commutator algebra becomes the usual Lie algebra of derivations.…