| bio | website | |
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| location | ||
| age | ||
| visits | member for | 4 months |
| seen | Feb 6 at 18:41 | |
| stats | profile views | 9 |
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Jan 23 |
revised |
Ring homomorphism is injective if and only if the induced maps on localizations are injective added 43 characters in body |
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Jan 23 |
comment |
Ring homomorphism is injective if and only if the induced maps on localizations are injective Thanks! I really confused between prime ideal and what I really wanted. |
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Jan 23 |
awarded | Editor |
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Jan 23 |
revised |
Ring homomorphism is injective if and only if the induced maps on localizations are injective added 43 characters in body |
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Jan 23 |
comment |
Ring homomorphism is injective if and only if the induced maps on localizations are injective I see your point. It should be the set of all powers of $\phi(p)$. |
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Jan 23 |
comment |
Ring homomorphism is injective if and only if the induced maps on localizations are injective The $p's$ are any element of $A$. I am localizing the powers of a single element. |
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Jan 23 |
asked | Ring homomorphism is injective if and only if the induced maps on localizations are injective |
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Jan 13 |
comment |
On functions in $L^p$ Thanks! Do you know why they give this hint, if the answer is that simple? There is a second part of this question asking to find a function in $L^p$ if and only if $p_0\leq p \leq p_1$. Maybe it is useful for this second part? |
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Jan 13 |
asked | On functions in $L^p$ |
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Jan 12 |
comment |
On the convergence of an improper integral Thanks that's what I thought! But I got confused by one of Folland's Real analysis exercises. In chapter 6, he asks, if $0<p_0<p_1\leq\infty$, find an example of functions $f$ on $(0,\infty)$ such that $f\in L^p$ iff $p_0<p<p_1$. As an hint, he says to consider functions of the form $f(x)= x^{-a}|log\,x|^b$. But these functions are never in $L^p$! |
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Jan 12 |
awarded | Scholar |
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Jan 12 |
accepted | On the convergence of an improper integral |
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Jan 11 |
awarded | Student |
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Jan 11 |
asked | On the convergence of an improper integral |