Ben

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2,344 reputation

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	location	Berkeley, CA
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visits	member for	9 months
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From the Bay to LA.

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56 Answers

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12	If $N$ and $M$ are normal subgroups and $N$ and $M$ have no common element other than $e$ then prove that for all $m \in M$ and $n\in N$, $mn=nm$.
10	Does $\sin^2 x - \cos^2 x = 1-2\cos^2 x$?
10	Why do the gaussian integers have only 2 congruence classes mod 1+i?
7	A finite group of even order has an odd number of elements of order 2
6	Does every noninvertible element of a commutative ring lie in a proper maximal ideal?

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2,344 Reputation

+10	Centre of a matrix ring are diagonal matrices
+10	Principal Ideal Domain
+10	A finite group of even order has an odd number of elements of order 2
+10	If $N$ and $M$ are normal subgroups and $N$ and $M$ have no common element other than $e$ then prove that for all $m \in M$ and $n\in N$, $mn=nm$.

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34 Tags

69 abstract-algebra × 24	16 homework × 7
50 group-theory × 15	16 complex-analysis × 7
22 finite-groups × 7	16 modular-arithmetic × 4
21 number-theory × 5	14 proof-strategy × 4
18 linear-algebra × 8	10 trigonometry

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$Mathematics Stack Exchange$	Mathematics	2,344 rep	1315
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