Noomi Holloway

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Math instructor trying to learn more math. I'm currently trying to work through Kenneth Ireland and Michael Rosen's A Classical Introduction to Modern Number Theory.

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32 Questions

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13	Formula for number of solutions to $x^4+y^4=1$, from Ireland and Rosen #8.18.
12	Is finite group theory still a fruitful area of research?
8	Are there any examples of rings $R$ such that $\mathrm{End}(R,+,0)\not\cong R$?
7	When is $\mathbb{F}_p[x]/(x^2-2)\simeq\mathbb{F}_p[x]/(x^2-3)$ for small primes?
5	For a ring $\{0,1,c\}$, does $c^2=1$?

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615 Reputation

+5	Is finite group theory still a fruitful area of research?
+65	Formula for number of solutions to $x^4+y^4=1$, from Ireland and Rosen #8.18.
+5	Proving $g(\chi\rho)^6=(-1)^{(p-1)/2}p(\overline{\chi(2)J(\chi,\rho)})^4$, from Ireland and Rosen.
+5	Least degree of splitting field for $x^n-1$?

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3 Answers

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3	Basic question about Ideals in Commutative Rings
3	How does this textbook go from this step to the next? I'm very confused.
1	If a number is divisible by a number, is it always divisible by that number's factors?

25 Tags

3 discrete-mathematics	0 linear-algebra × 10
3 commutative-algebra	0 elementary-number-theory × 7
3 ideals	0 number-theory × 7
1 arithmetic	0 ring-theory × 6
1 divisibility	0 finite-fields × 5

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