# Alex P.

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bio website provosta.lacim.uqam.ca location Montreal, Canada age 22 member for 3 months seen 8 hours ago profile views 106

I'm a grad student currently living in Montreal. My interests include algebraic topology, homological algebra, category theory, and commutative algebra, among others.

# 48 Answers

 6 Understanding Hom functions 5 Prove that $x-1$ divides $x^n-1$ 4 Number of linear maps is less or equal than the dimension of the vector space 4 For any basis of a dual space $B^*$, does there always exist a basis $B$ so that the dual basis of $B$ equals $B^*$? 3 Why is $\;n^2-\frac{n^2}{2} =\frac{n^2}{2}\;$?

# 1,124 Reputation

 +2 The graph of the function $y=\log_bx$ passes through the point $(729,6)$. Determine $b$. +20 The graph of the function $y=\log_bx$ passes through the point $(729,6)$. Determine $b$. +20 Find Aut$(G)$, Inn$(G)$ and $\dfrac{\text{Aut}(G)}{\text{Inn}(G)}$ for $G = \mathbb{Z}_2 \times \mathbb{Z}_2$ +10 Prove that $x-1$ divides $x^n-1$

# 7 Questions

 7 Can we think of an adjunction as a homotopy equivalence of categories? 4 Sum of Cauchy sequences in an abelian topological group (first countability hypothesis) 2 Ideal of polynomials in $k[X_1,…X_n]$ vanishing at a point $p$ is $(X_1 - p_1, …,X_n - p_n)$ [duplicate] 2 Product of ideals corresponding to vanishing of points is equal to their intersection 2 Independence of coordinate charts in the definition of the order of a pole of a meromorphic 1-form on a Riemann surface

# 57 Tags

 22 abstract-algebra × 14 7 vector-spaces × 2 18 linear-algebra × 13 6 category-theory × 2 13 homework × 13 5 matrices × 5 11 functions × 3 5 calculus × 3 8 group-theory × 5 5 ring-theory × 3

# 1 Account

 Mathematics 1,124 rep 211

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