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1·This paper offers two methods to verify the associative law.

本文给出了两个检验结合律的方法。

2·Here we have used the associative law or the cancellation law for multiplication, which are satisfied for natural Numbers, now we assume they are satisfied with fraction Numbers.

这里我们用到了乘法结合律也可以用消去律，本来这些运算律是对正整数乘法适用的，但对于有分数参加的乘法我们也规定适用。

3·We then can verify the associative law and the commutative law for multiplication, and the uniqueness of the result of addition indicates the uniqueness and the cancellation law for multiplication.

我们容易验证乘法满足结合律和交换律，并且由加法结果的唯一性得出乘法结果的唯一性和乘法消去律。

4·The commutative theorem characterized by an associative ring, presented in document 1 noted by Guo Huaguang is extended to the formation of the left near ring with partition law.

把郭华光在文献[1]中关于结合环的交换性定理推广到分配生成左拟环上。