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20222026
most citedOn the free metabelian Novikov and metabelian Lie-admissible algebras

6 citations · 6 across the 7 of their papers we have counts for

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math.RA2026

A vanishing criterion for Lie elements in a free Novikov algebra

F. A. Mashurov, B. K. Sartayev

Every Novikov algebra is Lie-admissible: the commutator turns it into a Lie algebra. We give a finite criterion for a multilinear element of the free Novikov algebra to belong to t…

math.RA2026

A polynomial criterion for Jordan elements in a free associative algebra

F. Mashurov, B. Sartayev

Let be the Jordan subalgebra of the free associative algebra $\Q\langle X\rangle$ generated by and under . We give a polynomial criterion for…

math.RA2026

Free Novikov-Zinbiel algebra

A. Dauletiyarova, F. Mashurov, B. Sartayev

Let be a commutative-associative algebra with an invertible derivation , and put . We study the operations \begin{equation*} x\succ y=R(x)y,\qquad x\prec y=xD(y),…