摘要
在本文中,作者强调了对合自同构在构造新环中的作用;给出了[5]中Hamilton四元数环的一种构造方式;指出了由结合环构造非可换且非结合的双非环的一种方法;并给出了满足性质“(a·b)·(c·d)=(a·c)·(b·d)”的“交结环”的概念.
In this paper, the author emphasizes the importance of involutorial automorphism;it gives a way of producing Hamilton's quaternions ring that is given by [4]; it points out a method of producing ring that is incommutative and unassociative from associative ring and a kind of ring with (a·b)·(c·d)= (a·c)·(b·d).
关键词
对合自同构
环
Hamilton四元数环
交结环
Involutorial automorphism, Ring, Hamilton's quaternions ring, Alternation-associative ring