All Questions
Tagged with applications abstract-algebra
5
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Is there a polynomial $p$ such that it is bijective and $ p: \mathbb{Q}^n \rightarrow \mathbb{Q}$ for $ n>1$ ??
Let us define a polynomial $p$ defined as follow $$p: \mathbb{Q}^n \rightarrow \mathbb{Q}.$$
I acrossed this question in mind. Is there a polynomial $p$ such that it is bijective and $p: \mathbb{Q}...
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A first course in abstract algebra Fraleigh 8th ed Section 5 Exercise 65
Cracker Barrel Restaurants place a puzzle called “Jump All But One Game” at each table. The puzzle starts with golf tees arranged in a triangle as in Figure 5.29a where the presence of a tee is noted ...
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Polynomials and NSA
I'm looking for some applications of criteria of irreducibility of integer polynomials inside and outside mathematics.
I was reading the CV of Filaseta, a great researcher in this area and he has ...
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Prove the application $\Phi$ is bijective.
I am working on a problem set and I need some assistance with an exercise.
The exercise goes as follows:
Let $A$ be a ring and $I \unlhd A$ an ideal. Given the natural projection $\pi : A \rightarrow ...
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Application of Jordan–Hölder theorem
Jordan–Hölder theorem can be used to prove the fundamental theorem of arithmetic. But I can only prove the uniqueness part of the theorem with Jordan–Hölder theorem. That every composite number is ...
