关键词: 代数体函数, 可约, 基本定理

Abstract:

Algebroid functions are generally determined by the irreducible equations. Recently, Sun and Gao^[1-2] have removed the request when they investigated the arithmetic operations of algebroid functions. In this paper, we study the algeroid functions determined by the reducible euqations. First, we discuss its single-valued branches and branch points, then show that the logarithmic derivative lemma, the first and second fundamental theorems of algeboird functions also apply to the reducible algeboid functions.

Key words: Algebroid function, Reducibility, Fundamental theorem