又一个特征为素数的无限域

Anotber Infinite Field with Finite Characteristic

摘要

摘要:构造出一个特征为素数的无限域借以避免人们误认无限域以素数为特征的仅只(K,,⊙)一个,其中K=(f(x))/(g(x))|f(x),g(x)∈瘙綄 _px,g(x)≠0,p为素数,,⊙分别是有理函数域中的加及乘运算.

Abstract:Another infinite field with finite characteristic is constructed so that one can get rid of regarding the field(K,,⊙),whereK=(f(x))/(g(x))|f(x),g(x)∈瘙綄 _px,g(x)≠0,p being a prime number,and  and ⊙ are respectively the addition and multiplication in the field of rational functions as aunigue infinite field with finite characteristic.