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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.


23h
answered How to find the remainder when the following series is divided by 12?
Aug
24
comment How to prove $n! > n^a$ for all $a\in \mathbb{R}$ (for sufficiently large $n$)?
Note that $a$ is real and not necessarily a natural number, but a reduction to this case can be easily made
Aug
23
reviewed Approve suggested edit on Onto homorphisms from $S_4$ to $S_2$
Aug
22
comment Show that $31 | ord(\alpha)$ for a root of $f \in \mathbb{F}_{5}$
There are $125$ elements in the field, you meant the group of invertible elements (I guess)
Aug
22
revised Is there any proof for this formula $\lim_{n \to ∞} \prod_{k=1}^n \left (1+\dfrac {kx}{n^2} \right) =e^{x⁄2}$
edited title
Aug
21
comment Value of $z$ so that the series converges
Maybe try to write this as two sums (one with $z^n$ and one with $\frac{1}{z^n}$), see when those converge for starters
Aug
21
answered Customers decrease with price increase: find the maximum price before no customers can afford candies.
Aug
21
revised Customers decrease with price increase: find the maximum price before no customers can afford candies.
added 6 characters in body
Aug
21
comment Probability of drawing the king of hearts and a red card
What have you tried ?
Aug
21
comment The number of positive integers whose digits are all $1$, $3$, or $4$, and add up to $2k$, is a perfect square
This is described in the oeis link along with other descriptions (as well as in the other comment)
Aug
21
answered The number of positive integers whose digits are all $1$, $3$, or $4$, and add up to $2k$, is a perfect square
Aug
21
comment The number of positive integers whose digits are all $1$, $3$, or $4$, and add up to $2k$, is a perfect square
oeis.org/A006498
Aug
20
comment Irreduciblility of $x^3 + 9x + 6 $ in $\mathbb{Q}[x]$
It is worth mentioning that this is basically the proof of the rational root theorem applied to this case
Aug
16
comment Proving that a number is non-negative?
Have you considered adding them up and seeing if they are a square ?
Aug
16
answered Any suggestion on how to justify true/false question in linear algebra exams?
Aug
15
comment The Galois group of a polynomial
If I recall correctly Dummite and Foote define that a polynomial is separable iff every irreducible factor of it is separable so $f$ is separable iff $g$ is by this definition
Aug
15
answered Irrational number “test”?
Aug
11
accepted Proving that the intersection of a Sylow p-group with a normal subgroup is also a Sylow p-group
Aug
9
comment Is “$a + 0i$” in every way equal to just “$a$”?
If we wish to be exact - they are not the same, but the concept of isomorphism arises, as Bill commented
Aug
9
comment Notation for show that a variable is binary?
$\mathbb{Z}_2$.