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Wikipedia:Reference desk/Archives/Mathematics/2007 March 1 - Wikipedia, the free encyclopedia

Wikipedia:Reference desk/Archives/Mathematics/2007 March 1

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Mathematics desk
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[edit] March 1

[edit] Apparently trivial abstract algebra problem

The following problem appears in my abstract algebra textbook (Hungerford):

Prove or disprove: Let R be a Euclidean domain; then I = \{a \in R | \delta(a) > \delta(1_R)\} is an ideal in R.

This seems trivial to me: just take R = \mathbb{Z} and δ(n) = | n | ; then I is not an ideal (it isn't even closed under addition). But the problem was in the "fairly hard" section, so I think I must be missing something. Maybe there's a typo? —Keenan Pepper 05:35, 1 March 2007 (UTC)

As I recall, in order for a subring of a Euclidean domain to be an ideal, it would absolutely have to contain 0; the I you describe above necessarily does not contain 0, hence cannot be an ideal. So no, I don't think you're missing something, I think it is just an easy problem. –King Bee (TC) 14:00, 1 March 2007 (UTC)

[edit] Valuation of American Options Whaley Method

Hey, I'd like to have the derivation and equation for valuation of american options by the Whaley method.

[edit] Help with taking limits

i need help taking a limit as x goes to +0....of X^X^X....65.110.228.117 19:42, 1 March 2007 (UTC)State

You should do your own homework, as we won't do it for you here. Here is a hint. Start by trying to evaluate \lim_{x \to 0^+} x^x, and then use that result to evaluate the limit you actually want to evaluate. –King Bee (TC) 19:45, 1 March 2007 (UTC)

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