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arXiv · 2601.16619

Varieties of initial dialgebras and some of their Koszul dual operads

Aigerim Dauletiyarova·Abdenacer Makhlouf·Bauyrzhan Sartayev
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Abstract

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 $\Var$. Such a subvariety is called the variety of initial $\Var$-dialgebras. In addition, we construct a basis of the free initial Lie and associative dialgebras.

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Aigerim Dauletiyarova, Abdenacer Makhlouf, Bauyrzhan Sartayev. 2026-05-11. Varieties of initial dialgebras and some of their Koszul dual operads. https://doi.org/10.46298/cm.17559

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