剩余类环Z_m上的自由模Z_m^((n))

Free Module on the Residue Class Ring Z_m^((n))

引入剩余类环Zm 上“n元序组”线性相关等概念 ,运用模的理论对Z(n)m 的结构性质进行研究 ,给出了Z(n)m为自由模和模元素组的替换性判定等结论 .

On the basis of the introduction to the concepts of “n number group”, lineear dependence on the residue class ring Z (n) m. and the research of the structure character of Z (n) m with modulus theory, the conclusions is drawn that Z (n) m is free mochule and substitution relation's judgement of module member's group.