CAJ | 학술논문

孙道椿与高宗升在研究代数体函数的四则运算时，把“代数体函数是由不可约方程确定出来的暠这一要求去掉了，这使得可约性成为代数体函数的另一个特性。研究了代数体函数经过复合运算后所得函数的可约性与原代数体函数的可约性之间的关系，得到了判定二者可约性相同的一个定理。
손도춘여고종승재연구대수체함수적사칙운산시，파“대수체함수시유불가약방정학정출래적고저일요구거도료，저사득가약성성위대수체함수적령일개특성。연구료대수체함수경과복합운산후소득함수적가약성여원대수체함수적가약성지간적관계，득도료판정이자가약성상동적일개정리。
Sun D.and Gao Z.have removed the request that algebroid functions are determined by the irreducible equations when they investigated the arithmetic operations of algebroid functions.This makes that the reducibility becomes another characteristic of algebroid functions.In this paper,the relation between the reducibility of the composited algebroid function and that of the original algebroid function is studied,and a judgement theorem that they are the same reducibility is obtained.