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#1 2009-11-28 11:35:21
- GTK X Hunter
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- Registered: 2009-10-13
- Posts: 10
ALGEBRA - i need more examples about ring -_-?
Please give me EXAMPLE and explain about:
- Commutative ring and uncommutative ring which doesn't have unit element
- Ring which has different unit element with its subring's unit element
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#2 2009-11-28 13:16:58
- Ricky
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- Registered: 2005-12-04
- Posts: 3,791
Re: ALGEBRA - i need more examples about ring -_-?
(i) Commutative: Take a look at the integers (they won't work by themselves!)
Noncommutative: 2x2 matrices with elements only in certain positions.
(ii) Think direct products.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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