hmIII

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20 Questions

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11	Why is it that $\det(\phi-x\text{id})=\sum_{i=0}^n (-1)^ic_ix^i$?
6	Why does $(2/p)=\prod_{k=1}^{(p-1)/2}2\cos\left(\frac{2\pi k}{p}\right)$?
6	Why is the kernel of this strange polynomial homomorphism what it is?
5	Is this quotient ring $\mathbb{C}[z_{ij}]/\ker\phi$ integrally closed?
5	Examples proving why the tensor product does not distribute over direct products?

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211 Reputation

+5	Why is the kernel of this strange polynomial homomorphism what it is?
+5	Do $T$-invariant subspaces necessarily have a $T$-invariant complement?
+10	Why is the cyclic decomposition of a primary torsion module not unique?
+5	If $A\equiv 1\pmod{3}$, then $4p=A^2+27B^2$ uniquely determines $A$.

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20 Tags

0 commutative-algebra × 6	0 ring-theory × 2
0 abstract-algebra × 4	0 tensor-products × 2
0 modules × 4	0 algebraic-geometry × 2
0 number-theory × 4	0 ideals × 2
0 reference-request × 4	0 linear-algebra × 2

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$Mathematics Stack Exchange$

Mathematics

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