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

作者: sumty (elva)   2009-01-11 13:24:41
有關裡面一段
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
在課本的682頁
我想問的是,是否 integral domain有cancellation law of multiolication?
有的話,是什麼原因?
沒有的話,di=dj又是如何得出?
作者: sumty (elva)   2009-01-11 14:24:00
sorry 我在講義28頁看到解答了@@
作者: anfranion (南‧生命的意義是經歷)   2009-01-11 23:30:00
(可以從integral domain定義的1 & 3推得唷:P)

Links booklink

Contact Us: admin [ a t ] ucptt.com