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19982026
most citedSearching For Dark Matter with Plasma Haloscopes

75 citations

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math.RA2026

Varieties of initial dialgebras and some of their Koszul dual operads

Aigerim Dauletiyarova, Abdenacer Makhlouf, Bauyrzhan Sartayev

In this paper, for a given variety $\Var$, we present a universal algorithm for constructing a subvariety of $\Var$-dialgebras from which one can recover an algebra belonging to $\…

math.RA2024★ 1 cited

On the Dong Property for a binary quadratic operad

P. S. Kolesnikov, B. K. Sartayev

The classical Dong Lemma for distributions over a Lie algebra lies in the foundation of vertex algebras theory. In this paper, we find necessary and sufficient condition for a vari…

math.RA2024★ 6 cited

On the free metabelian Novikov and metabelian Lie-admissible algebras

A. Dauletiyarova, K. Abdukhalikov, B. K. Sartayev

In this paper, we consider Lie-admissible algebras, which are free Novikov and free Lie-admissible algebras with an additional metabelian identity. We construct a linear basis for…

math.RA2023★ 8 cited

Some generalizations of the variety of transposed Poisson algebras

B. K. Sartayev

It is shown that the variety of transposed Poisson algebras coincides with the variety of Gelfand-Dorfman algebras in which the Novikov multiplication is commutative. The Gröbner-S…

math.RA2023★ 1 cited

On Pre-Novikov Algebras and Derived Zinbiel Variety

Pavel Kolesnikov, Farukh Mashurov, Bauyrzhan Sartayev

For a non-associative algebra with a derivation , its derived algebra is the same space equipped with new operations , , $a,b\i…