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arXiv · 2206.12810

Novikov dialgebras and perm algebras

F. Mashurov·B. K. Sartayev
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Abstract

In this paper, we consider Perm algebra with the derivation $d$. The algebra itself is equipped with the new operation $a\succ b = d(a) b$. We construct a linear basis of the free Novikov dialgebra in terms of new operations. Also, we prove that the class of algebras under the new operation form a variety. Finally, we find the defining identities of the variety.

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F. Mashurov, B. K. Sartayev. 2022-06-26. Novikov dialgebras and perm algebras. https://arxiv.org/abs/2206.12810

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