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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
awarded  Explainer
Sep
27
answered Rationalise $\frac{2}{\sqrt{12}}$ fully
Sep
27
asked Question about the third and fourth isomorphism theorems for groups
Sep
27
reviewed Approve suggested edit on What is the proof of $n^2 = 1 + 3 + 5 … (2*n - 1)$
Sep
27
revised I can't understand logical implication
added 7 characters in body
Sep
27
comment I can't understand logical implication
@gebruiker - Why would you think you can't ?
Sep
27
answered I can't understand logical implication
Sep
27
answered Polynomials over $F_{3}$ and $F_{7}$
Sep
26
answered Cyclic subgroups of the center of a group
Sep
26
comment Show that an abelian group $G$ of order 55 must be cyclic.
But it was not what asked
Sep
26
comment Show that an abelian group $G$ of order 55 must be cyclic.
This does not answer the question
Sep
26
comment Show a sequence such that $\lim_{\ N \to \infty} \sum_{n=1}^{N} \lvert a_n-a_{n+1}\rvert< \infty$, is Cauchy
In the second math line- the sum can be made as small as you want not just finite, it is finite for every $N$
Sep
25
comment Rank Nullity Theorem for Infinite dimensional vector spaces
Maybe consider looking at the proof for the finite case, it doesn't use $V\setminus U$ either
Sep
25
comment Rank Nullity Theorem for Infinite dimensional vector spaces
No, not to mention that again that a direct sum in this context is defined to be a direct sum of vector spaces, the definition requires that the zero vector is in the intersection, here the intersection is an empty set.
Sep
25
comment To show from definitions , if $|G|=15$ then $G$ is isomorphic to $\mathbb Z_3 \times \mathbb Z_5$
What are your thoughts on the problem ? it is not so elementary so that it can be solved straight from definitions - surely you can use theorems such as Lagrange theorem or even Cauchy
Sep
25
comment Rank Nullity Theorem for Infinite dimensional vector spaces
What is a dimension of something that is not a vector space ?
Sep
25
comment Rank Nullity Theorem for Infinite dimensional vector spaces
What do you mean by $\dim(V\setminus U)$ ? $0\not\in V\setminus U$ so this isn't a vector space
Sep
25
answered Basic question about group actions and orbits
Sep
25
reviewed Approve suggested edit on How the gradient vector is in the direction of maximum increase of function and its magnitude is the maximum increase?
Sep
25
revised Proof Strategy: For all nonzero complex numbers $z$ and all nonzero rational numbers $a$ and $b, \mathbb Q (az+b)=\mathbb Q(z)$
edited tags