论文标题
可乐的免费产品和自由的可加入的Operad的基础
Free product of operads and free basis of Lie-admissible operad
论文作者
论文摘要
在本文中,我们介绍了代数免费产品的定义,介绍了Operads的免费产品的定义。有一种给定的方法可以找到经营的自由产品的基础和维度。通过反交通操作,可使用的代数给出了代数。我们证明了撒谎的谎言属于谎言和交换性(非缔合性)作业的自由产品的同构。
In this paper, we introduce the definition of free product of operads, following the definition of a free product of algebras. There is a given method of finding the basis and dimension of the free product of operads. By anti-commutative operation, Lie-admissible algebra gives Lie algebra. We proved that Lie-admissible operad isomorphic to the free product of Lie and commutative(non-associative) operads.