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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.


12h
awarded  Convention
1d
awarded  Constituent
Dec
16
awarded  Yearling
Dec
12
comment If $\int_A f=0$ for every measurable subset $A$ of $E$, then $f(x)=0$ a.e. on $E$
Although I agree the conclusion follows from whats written, I think that it doesn't follow from the last line about $mesE$ in the case that $E$ is of infinite measure, instead I think it would be better to write that the set of points in $E$ s.t $f$ is non-zero in are the union of $A_n,B_n$ and so by sigma additivity it have measure 0
Dec
12
comment If $\int_A f=0$ for every measurable subset $A$ of $E$, then $f(x)=0$ a.e. on $E$
@DavidMitra - but it was not mentioned that $f>0$
Dec
12
answered let $G$ be dihedral group so that $D_{2n}= \langle x,y \ | \ x^2=y^n=e, yx=xy^{n-1} \rangle$. Prove that $N\unlhd G$ and $G/N \cong W = \{1,-1\}$
Dec
11
awarded  Caucus
Dec
7
revised What are some textbooks on the same level as Ross's “A First Course in Probability”?
edited tags
Dec
7
comment Can the equation $\mathbf{Av}=\mathbf{b}$ be solved as $\mathbf{v}=\mathbf{A}^{-1}\mathbf{b}$?
It's worth mentioning that there may be a solution even if A is not invertiable, the Matlab code example try to find such a solution
Dec
6
comment Do I need to evaluate exact value of $A^9$ to find $Det.(2A^9B^{-1})$?
Check the question: B is not invertiable and A can not be squared
Dec
5
awarded  Popular Question
Dec
4
comment How to obtain and graph a function that first grows exponentially and then decays exponentially?
wolframalpha.com/input/?i=x%5E2
Dec
2
answered What is the meaning of $x*\sqrt{3} \mod 1$?
Nov
28
comment Topic for a lecture intended for High School students
How about basic graph theory? Definitions and proofs can be made graphic and can be more easily thought
Nov
23
revised Group isomorphisms and a possible trivial statement?
deleted 2 characters in body
Nov
17
comment Eigenvalues of this 3x3 matrix
It would help if you write what you did so we can help find the error and lead you in the right direction
Nov
17
comment Show that there exists a polynomial such that..
In all uses, zero should be a, right?
Nov
16
comment Proving that $x^3 +1=15x$ has at most three solutions. in the interval [-4,4].
@YellowSkies - This is a very important theorem, you should at least learn its statement
Nov
16
answered Prime ideals in $\mathbb{Q}[X]$
Nov
15
answered As fields $F$ not isomorphic with $\mathbb R$ , but as sets $F \sim \mathbb R$ , example ?