Читать книгу Algebra and Applications 2 - Группа авторов - Страница 44

NAP algebras (NAP for Non-Associative Permutative) appear under this name in Livernet (2006), and under the name “left- (right-)commutative algebras” in Dzhumadil’daev and Löfwall (2002). They can be seen in some sense as a “simplified version” of pre-Lie algebras. Saidi showed that the pre-Lie operad is a deformation of the NAP operad in a precise sense, involving the notion of current-preserving operad (Saidi 2014).