Aigerim Dauletiyarova ; Abdenacer Makhlouf ; Bauyrzhan Sartayev
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Varieties of initial dialgebras and some of their Koszul dual operads
cm:17559 -
Communications in Mathematics,
May 12, 2026,
Volume 35 (2027), Issue 2 (Special issue: European Non-Associative Algebra Seminar)
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https://doi.org/10.46298/cm.17559Varieties of initial dialgebras and some of their Koszul dual operadsArticle
Authors: A. Dauletiyarova ; A. Makhlouf ; B. Sartayev
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A. Dauletiyarova;A. Makhlouf;B. 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 $\Var$. 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.
Volume: Volume 35 (2027), Issue 2 (Special issue: European Non-Associative Algebra Seminar)
Published on: May 12, 2026
Accepted on: May 3, 2026
Submitted on: February 22, 2026
Keywords: Rings and Algebras