algebraically independent elements

In this paper,on the base of study of AFS theory the authors give the definition of base of the EI algebra and EI independence and apply them to study the algebraic structures of the EI algebra.

在对AFS理论的研究基础上给出了EI代数的子代数和EI代数基及EI代数无关的定义 ,并把它们应用到EI代数的代数结构的研究上 。

In this note the algebraic independence of values of a set of power series with algebraic coefficients at transcendental numbers is given.

本文证明了一类具有代数系数的幂级数在超越数上值约代数无关性。