This paper mainly discuss some property of ring which fit into anti-commutativelaw, and arrive at a conclusion that anti-commutativelaw is commutable.
本文主要讨论了适合反交换律的环的一些性质，并得出反交换环一定是交换环。
2
Heisenberg had not proceeded very far with this idea before he noticed that it would lead to his physical quantities not satisfying the commutativelaw of multiplication.
在意识到矩阵表示将导致物理量不满足乘法交换律之前，海森堡并没有前进太远。
3
We then can verify the associative law and the commutativelaw for multiplication, and the uniqueness of the result of addition indicates the uniqueness and the cancellation law for multiplication.