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I have a B.Sc in computer science and a B.Sc in mathematics from the Technion.

I am interested mainly in abstract algebra and I hope to start graduate school soon to continue study some advanced topics in this area.

Currently I am going over Abstract Algebra by Dummit and Foote to recall old topics and fill some gaps I have, while working full time as a programmer.


7h
answered Show linear independence
Sep
20
revised What does the notation $H=\{ a | a^2=e \}$ mean?
rolled back to a previous revision
Sep
20
revised What does the notation $H=\{ a | a^2=e \}$ mean?
deleted 67 characters in body
Sep
20
comment Groups of Order 2 with subgroups
@Jack - If $G$ is abelian and $a,b$ are distinct of order $2$ then then $H=\langle a,b\rangle$ is a subgroup of order $4$. But if $G$ is not abelian then $\langle a,b\rangle$ can have more elements in it, as I demonstrated using $D_{8}$ . If that not what part 3 wanted you to do, then I don't understand the question itself
Sep
20
comment Groups of Order 2 with subgroups
@Jack -What don't you understand ?
Sep
20
comment Groups of Order 2 with subgroups
@Jack - it is uncleared what asked, but I added an answer for that assuming I guessed what the question meant
Sep
20
revised Groups of Order 2 with subgroups
added 314 characters in body
Sep
20
answered Groups of Order 2 with subgroups
Sep
20
revised $\text{Prove that}$ $\frac{\sin(\frac{n+1}2)*\cos(\frac n2)}{\sin\frac 12} \ge\frac n2$
edited title
Sep
19
answered Question about dimension of a subspace
Sep
18
comment From 0 to Hero.
I suggest opening a new post describing what you already know and what you want to learn further. You already know the basics - adding and multiplying, a basic understanding of numbers, maybe even you are able to solve an equation such as $3x+3=6$
Sep
18
answered Matrix Algebra $(A+B)^2$ help
Sep
18
comment Product of the elements cannot be 1
How did you prove the existence of $H$ ?
Sep
16
awarded  Popular Question
Sep
15
comment Consider the equation $x^4-5x^3+2x^2-5x+1=0$
Or just square twice..
Sep
13
revised Number of derangements $f(1)=2 , f(2)=3$
added 6 characters in body; edited title
Sep
13
answered Number of derangements $f(1)=2 , f(2)=3$
Sep
13
comment Ideal and factor ring
@FrankD - Yes, use the form with the $\times$
Sep
13
answered Find $\alpha , \beta$ s.t. $\forall s_i\in\mathbb{Z} ,\frac{\alpha^2}{\beta}\neq\frac{(s_1-s_2)^2+(s_3-s_4)^2+…}{(s_1+s_2)^2+(s_3+s_4)^2+…}$
Sep
13
answered What is linearity?