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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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  • Member for 5 years, 7 months
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  • Last seen Apr 27 '18 at 15:05

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11 What is the kernel of a homomorphism? Feb 20 '15
8 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 '15
6 Show that $d(x,y)=\min \{1,|x-y|\}$ is a metric on $\mathbb R$ Oct 20 '13
6 Prove that a countable subset of $\mathbb{R}$ has Lebesgue outer measure zero Dec 8 '13
6 Show ker($\alpha$)=ker($\alpha$)^2 iff ker($\alpha$) and im($\alpha$) are disjoint Jun 24 '14
5 If $f:G \to H$ is a homomorphism with kernel $N$ and $K$ is a subgroup of $G$ then prove that $f^{-1}(f(K))=KN$ Feb 8 '15
4 Evaluate the Cauchy Principal Value of $\int_{-\infty}^{\infty} \frac{\sin x}{x(x^2-2x+2)}dx$ Dec 10 '14
4 find the sketch of y=1 under the mapping $f(z)=z^2$ Oct 5 '14
4 Show that the function is Lebesgue measurable Dec 9 '13
4 If $A=AA^{\top}$, show that $A^2=A$ Jun 30 '14
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