论文标题
Novikov Dialgebras和Perm代数
Novikov dialgebras and perm algebras
论文作者
论文摘要
在本文中，我们考虑使用派生$ D $的Perm代数。代数本身配备了新操作$ a \ scucs b = d（a）b $。我们根据新操作构建免费的Novikov Dialgebra的线性基础。另外，我们证明了新操作下的代数类别形成了多种多样。最后，我们发现了多样性的定义身份。
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.
