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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.


Jan
18
comment If $x^m=e$ has at most $m$ solutions for any $m\in \mathbb{N}$, then $G$ is cyclic
@andreamori - not all elements of this cyclic subgroup generate it. And I don't get it.. How did you conclude the inequality?
Jan
18
answered If $A^3=A+I$, then $\det A>0$
Jan
18
comment If $x^m=e$ has at most $m$ solutions for any $m\in \mathbb{N}$, then $G$ is cyclic
Can you give a hint as to how one can prove (2)?
Jan
9
awarded  Nice Question
Jan
7
comment Factoring a fourth degree polynomial with missing degrees
There are no rational roots, what about irrational roots?
Jan
4
comment group size of $x^3 \equiv x+1 \pmod n$
It would be helpful if you provide context (source of problem e.g a course in X) and your thoughts and knowledge in the subject (so you can get answers that fit you)
Jan
3
comment How can we measure how “irrational” a number is?
There is also the degree of a simple extension over the rationals that can be considered as a measurement
Jan
3
revised How can we measure how “irrational” a number is?
edited tags
Jan
3
reviewed Approve How do I solve this limit: $ \lim_{x \to \infty } \sqrt{n}\sin(\sin(\sin … (\sin (1))…)) $
Jan
2
comment how to factor this cubic polynomial
The test does not require that the polynomial will be monic, why the extra step ?
Jan
2
comment how to factor this cubic polynomial
@MathMan - This method finds all rational roots
Jan
2
comment how to factor this cubic polynomial
@MathMan I can't think of any better way, maybe other answers will. Anyway, you can use this theorem without having to justify it - one you get the roots you can prove those are the roots by evaluating the polynomial at those points
Jan
2
answered how to factor this cubic polynomial
Dec
29
awarded  Popular Question
Dec
28
answered Simple question of vectors and points
Dec
28
answered 1/a approaches infinity
Dec
27
comment Prove/disprove that $A^3+A=0$
OK. But wouldn't it be more educational to write $A=I$ so it won't look like a bunch of numbers the someone who just started learning about matrices ?
Dec
27
comment What is the difference between a function and a formula?
I agree, and I think that this answer fits for this type of question. But I just wanted to mention that in high school math, simple equalities are also referred to as formulas
Dec
27
comment Prove/disprove that $A^3+A=0$
The above matrix is not invertiable as assumed
Dec
27
comment What is the difference between a function and a formula?
A formula can also mean something like $1+2+3+...+n=n(n+1)/2$ so I wouldn't say that this word is limited to the world of physics or chemistry.