[问题] A finite integral domain (D,+,˙) is a field

楼主: sumty (elva)   2009-01-11 13:24:41
有关里面一段
for d in D ,d is not z
dD = {dd1,...,ddn}
if ddi = ddj for some 1≦i≦j≦n
since D is an integral domain and d is not z, we have di=dj
so dD = D
在课本的682页
我想问的是,是否 integral domain有cancellation law of multiolication?
有的话,是什么原因?
没有的话,di=dj又是如何得出?
楼主: sumty (elva)   2009-01-11 14:24:00
sorry 我在讲义28页看到解答了@@
作者: anfranion (南‧生命的意義是經歷)   2009-01-11 23:30:00
(可以从integral domain定义的1 & 3推得唷:P)

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