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数环

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青青子衿 Posted at 2014-7-3 17:35:38 |Read mode
所有形式为\(a+b\sqrt{2}(a,b\in\mathbb{z})\)数的构成一个数环

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realnumber Posted at 2014-7-3 19:32:36
符合环的定义就成.
1.加法+符合阿贝尔群2.乘法×满足结合律3.乘法×对加法+满足分配律.
逐条证明,就是罗嗦.

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caijinzhi Posted at 2014-7-6 12:04:54
由Q单代数扩张?可以的。

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