Mathematics
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Hello all, I am a developmental math instructor, for now. I am a pure math graduate student.

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All Questions Answers
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question
11
Show that $d(x,y)=\min \{1,|x-y|\}$ is a metric on $\mathbb R$
Oct 20, 2013
question
11
What is the kernel of a homomorphism?
Feb 20, 2015
question
9
Let R be a ring. Prove that if $x^2=x$ for each $x \in R$, then R is a commutative ring. [duplicate]
Apr 20, 2015
question
9
Prove that a countable subset of $\mathbb{R}$ has Lebesgue outer measure zero
Dec 8, 2013
question
8
Show $\ker(\alpha)=\ker(\alpha)^2 \ \iff \ \ker(\alpha)\cap \mathrm{Im}(\alpha)=\{0\}$
Jun 24, 2014
question
6
If a group $G$ contains an element a having exactly two conjugates, then $G$ has a proper normal subgroup $N \ne \{e\}$
Mar 11, 2015
question
6
Let $S$ be a normal p-subgroup of a finite group $G$. Prove that $S \subseteq P$ for every Sylow p-subgroup $P$ of $G$
Mar 21, 2015
question
5
What is a group action, and how can we apply it to Sylow theory
Apr 6, 2015
question
5
Show that the rank of $A+B$ is no more than the sum of the ranks of $A$ and $B$ [duplicate]
Jul 1, 2014
question
5
Evaluate the Cauchy Principal Value of $\int_{-\infty}^{\infty} \frac{\sin x}{x(x^2-2x+2)}dx$
Dec 10, 2014

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