Andreas Caranti

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An Algebra teacher, recovering from a stint as dean of Faculty.


486 Answers

newest activity votes
18
Finding :$x_1^8+x_2^8+\cdots+x_8^8$
14
Finding the number in the fourth corner of a square
12
Verify the following identity for Fibonacci numbers
12
Example of a group where $o(a)$ and $o(b)$ are finite but $o(ab)$ is infinite
11
Can you find function which satisfies $f(ab)=\frac{f(a)}{f(b)}$?
11
Show that for G be a abelian group, $g \in G, g^m=1$, where $m=|G|$
11
Is this number rational?
11
Examples of functions $f$ and $g$ such that one of them is not differentiable but $f+g$ is differentiable
11
Partition of an infinite set into finitely many infinite sets?
10
7th class question my daughter asked and need answer if possible
10
How can I find the possible values that $\gcd(a+b,a^2+b^2)$ can take, if $\gcd(a,b)=1$
9
If $G/N$ and $H/N$ are isomorphic, does it imply $G$ and $H$ are isomorphic?
9
Can nonzero polynomials vanish identically?
9
Is $e^x$ the only isomorphism between the groups $(\mathbb{R},+)$ and $(\mathbb{R}_{> 0},*)$?
8
On any finite field, adding the identity element a finite amount of times will result to the neutral element
8
An infinite union of closed sets is a closed set?
8
How does linear algebra help with computer science
8
Let $σ∈S_n$ be a $n$ cycle. Prove that an element $τ∈S_n$ only commutes with $σ$ if $τ$ is a power of $σ$.
8
field of algebraic numbers
8
What is the order of $2$ in $(\mathbb{Z}/n\mathbb{Z})^\times$?
8
how to prove $G_1$ and $G_2$ aren't isomorphic?
8
Slide Puzzle logic??
8
How to show that a finite comutative ring without zero divisors is a field?
8
Applications of the Isomorphism theorems
7
How do I solve $x^2 + y^2 + xy = z$ for $y$
7
Showing that if $N \le G$ is finite minimal normal with every simple homomorphic image abelian, then it is abelian itself
7
A commutative ring $A$ is a field iff $A[x]$ is a PID
7
Algebra question
7
Subgroups of $\mathbb{Z} \times \mathbb{Z}_2$
7
Is this correct? $rH=Hr^{-1}$
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