My Math Forum Faculty Member Needed

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 March 27th, 2018, 09:30 AM #1 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves Faculty Member Needed Hello, I need a letter of recommendation / declaration of competence in Abstract Algebra, from a faculty member of a legit university. I obviously don't expect that person to just write it off the bat, given the study I do in the next 6 months and what ever requests of the person doing this for me are in terms of establishing my level of competence there should be some means of ensuring that the recommendation is not falsely given. If you are able to do this for me, please private message me, thank you.
 April 3rd, 2018, 05:16 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,194 Thanks: 871 You want a faculty member of a "legit university", who doesn't even know you to write a letter of recommendation? How would you "establish" your "level of competence"? By e-mail? By snail mail? How would that person know for sure that the work you show was really your work? What would this be recommending you for? Last edited by skipjack; April 3rd, 2018 at 02:28 PM.
 April 3rd, 2018, 07:49 AM #3 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,609 Thanks: 845 ...and since yer from Downunder, that person will certainly ask for at least twice what he normally expects
April 3rd, 2018, 10:28 AM   #4
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Quote:
 Originally Posted by Adam Ledger ... what ever requests of the person doing this for me are in terms of establishing my level of competence ...
We have a regular poster who asks questions a little beyond the basic undergrad abstract algebra syllabus. They can generally be approached starting from basic abstract algebra and looking up any unfamiliar technical terms.

Here are three relatively recent ones from the Mona123 files to get you started. Give these a try, show your work, and of course don't cheat by looking up the answers supplied by others.

Quote:
 Originally Posted by mona123 Let $D$ be a division ring and $V$ a left $D$-module. Show that the following are equivalent: (i) $V$ is Noetherian, (ii) $V$ has a finite basis, (iii) $V$ is Artinian.
Quote:
 Originally Posted by mona123 Let $f\subset E$ be a Galois extension and assume that $E=F(\alpha)$ with $\alpha^n\in F$. Let $G=Gal(E/F)$. Show that $G$ has a cyclic normal subgroup $N$ of order dividing $n$ such that $G/N$ is abelien and has order dividing $\phi(n)$.
Quote:
 Originally Posted by mona123 Let $L=\mathbb{Q}(\sqrt{2+\sqrt{3}})$. $L$ is a normal extension of $\mathbb{Q}$. >Express the roots of $m(x)=(x^2-2)^2-3$ ( the minimal polynomial of $\alpha=\sqrt{2+\sqrt{3}}$ over $\mathbb{Q}$) in $\mathbb{Q}(\alpha)$ in term of $\alpha$.

Last edited by Maschke; April 3rd, 2018 at 10:58 AM.

April 3rd, 2018, 10:50 AM   #5
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Math Focus: Mainly analysis and algebra
I hope you find what you are looking for. But it occurs to me that most faculties already have a process for this: completing the Abstract Algebra course. I can't see them doing it for less.
Quote:
 Originally Posted by Adam Ledger I need a letter of recommendation / declaration of competence in Abstract Algebra, from a faculty member of a legit university.

 April 13th, 2018, 08:29 AM #6 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves ok I don't know what is wrong with the email notification system but I did not get an alert for an update to this post, but thankyou very much for the questions I have them in the folder I have assigned for AA and will most definitely attempt them in my study. Oh ok well your assumption about no faculty member is definitely incorrect, it is reasonably accurate, many will say no I am sure but not all, otherwise I would not have had someone already agree to doing exactly this for Real Analysis on the proviso I submit passing equivalent answers to assignments and what ever they require of me. Last edited by Adam Ledger; April 13th, 2018 at 08:31 AM.

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