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Oct
3
comment Properties of Linear Transformations?
Jared's answer is focusing on the intuition. Mathematicians study many different types of objects; a vector space is an example of what might be called an algebraic object. A vector space is composed of things called vectors, and there are two operations you can carry out with these vectors: you can add them together, or you can scale them. So if we want to study maps (that is, functions) between two vector spaces, the best ones to consider will be the maps which respect those two operations. Thus, we get the definition of a linear transformation. Other maps between vector spaces exist, but
Oct
2
comment Why learning modern algebraic geometry is so complicated?
I feel compelled to link to this post on MO regarding the usefulness of studying EGA: mathoverflow.net/questions/3041/…
Oct
2
answered Why can Echelon Matrices have zero rows but Echelon systems can't have any equations with no leading variables?
Sep
29
answered Visualising finite fields
Sep
14
suggested suggested edit on Demonstração do Teorema de Bezout. (Proof of Bézout's Theorem)
Sep
13
answered Ramification index in number fields extension
Aug
23
awarded  Necromancer
Aug
14
answered How the ring of algebraic numbers looks like?
Jul
28
answered How can a function's range be 'the reals including infinity'
Jun
28
comment Are $\mathbb{C} \otimes _\mathbb{R} \mathbb{C}$ and $\mathbb{C} \otimes _\mathbb{C} \mathbb{C}$ isomorphic as $\mathbb{R}$-vector spaces?
$\mathbb{C} \otimes _\mathbb{C} \mathbb{C} \simeq \mathbb{C}$
Jun
16
comment A subset of a field that is a subfield
This is definitely what the problem-writer had in mind.
Jun
11
comment '$R$-rational points,' where $R$ is an arbitrary ring
Yes, but that edit button is so far away...
Jun
11
comment '$R$-rational points,' where $R$ is an arbitrary ring
We seem to have posted at the same time, but I like your answer better =D
Jun
11
answered '$R$-rational points,' where $R$ is an arbitrary ring
May
17
revised Details about a Recurrence Relation problem.
Fixed exponents.
May
17
suggested suggested edit on Details about a Recurrence Relation problem.
May
16
awarded  Caucus
May
16
answered Prime decomposition in ring extensions
May
13
awarded  Suffrage
May
12
awarded  Yearling