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math.RA2026
Nonsymmetric versions of binary quadratic operads
F. A. Mashurov, B. K. Sartayev
In this paper, we study the white Manin product of the associative operad $\As$ with a binary quadratic operad $\Var$. We introduce the notion of a nonsymmetric version of $\Var$ a…
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 $\…