(2,p,q)-代数及其构造方法

(2,p,q)-algebra and its construction.

讨论具有两个高阶乘法的一类A∞-代数———(2,p,q)-代数.基于(2,p)-代数的结构理论,提出了一种由一般分次结合代数构作一类特殊(2,p,q)-代数的方法,同时探讨它与(2,p)-代数的关系.

A special class of A（n）-algebras with two nontrivial higher multiplications, called （2, p,q）-algebras, is studied. Based on the constructive theory of （2, p）-algebras, a method to construct a （2, p,q）-algebra from a general graded associative algebra is given, and meanwhile some relations between （2, p,q）-algebras and （2, p）-algebras are discussed.