Question

Let $\mathbb F$ be a field, find a necessary and sufficient condition on $\mathbb F$ such that the only semi-polynomial maps are the polynomials.

score 96 · Answer 1 · 2026-04-16 17:59:59

96

Views

Let $\mathbb F$ be a field, find a necessary and sufficient condition on $\mathbb F$ such that the only semi-polynomial maps are the polynomials.

Published on 16 Apr 2026 - 17:59

score 520 · Answer 2 · 2026-04-14 12:37:22

520

Views

How do I prove an antisymetrical polynomial $~f(x,y)~$ is divisible by $~x-y~$

Published on 14 Apr 2026 - 12:37

score 52 · Answer 3 · 2026-04-08 18:14:51

52

Views

Term for an 'overall' convex function

Published on 08 Apr 2026 - 18:14

score 265 · Answer 4 · 2026-04-13 22:43:32

265

Views

When is $y=3x^2+3x+1$ a prime number in $\mathbb{Z}$ with $x \in \mathbb{Z}$?

Published on 13 Apr 2026 - 22:43

score 66 · Answer 5 · 2026-04-16 14:24:07

66

Views

Prove : $C_{k}(x)+C_{k+1}(x)\geqslant 1$ , $x_{k}\leqslant x\leqslant x_{k+1}$

Published on 16 Apr 2026 - 14:24

score 1.2k · Answer 6 · 2026-03-26 00:58:43

1.2k

Views

A polynomial with nowhere surjective derivative

Published on 26 Mar 2026 - 0:58

score 43 · Answer 7 · 2026-04-15 02:51:45

43

Views

Trying to determine the minimal polynomials for 2 algebraic numbers $b,c$

Published on 15 Apr 2026 - 2:51

score 64 · Answer 8 · 2026-04-12 04:48:43

64

Views

Rational Decomposition

Published on 12 Apr 2026 - 4:48

score 70 · Answer 9 · 2026-04-16 05:30:14

70

Views

If ${\triangle^k f}$ is constant and $f_n = p(n)$ for all $n \le k$ then $f_n = p(n)$ for all $n \in \mathbb N$

Published on 16 Apr 2026 - 5:30

score 81 · Answer 10 · 2026-04-12 05:25:43

81

Views

Analytical Expression of complex roots of a polynomial

Published on 12 Apr 2026 - 5:25

score 40 · Answer 11 · 2026-04-11 09:53:51

40

Views

Need help solving the below mentioned equation.

Published on 11 Apr 2026 - 9:53

score 482 · Answer 12 · 2026-04-15 01:48:03

482

Views

Let $\alpha$ be an algebraic integer, $R=\Bbb Z[\alpha]$, and $m \in \mathbb{Z}$. Prove that $ R/mR$ is finite and find $|R/mR|$

Published on 15 Apr 2026 - 1:48

score 143 · Answer 13 · 2026-04-14 04:39:48

143

Views

Find polynomial with some conditions

Published on 14 Apr 2026 - 4:39

score 189 · Answer 14 · 2026-04-23 02:17:19

189

Views

Can the zero set of irreducible polynomial, with complex coefficients, in more than one variable, ever be compact in Euclidean topology?

Published on 23 Apr 2026 - 2:17

score 173 · Answer 15 · 2026-04-13 03:13:49

173

Views

Integral of a special combination of polynomial and exponential functions

Published on 13 Apr 2026 - 3:13

List Question

Let $\mathbb F$ be a field, find a necessary and sufficient condition on $\mathbb F$ such that the only semi-polynomial maps are the polynomials.

How do I prove an antisymetrical polynomial $~f(x,y)~$ is divisible by $~x-y~$

Term for an 'overall' convex function

When is $y=3x^2+3x+1$ a prime number in $\mathbb{Z}$ with $x \in \mathbb{Z}$?

Prove : $C_{k}(x)+C_{k+1}(x)\geqslant 1$ , $x_{k}\leqslant x\leqslant x_{k+1}$

A polynomial with nowhere surjective derivative

Trying to determine the minimal polynomials for 2 algebraic numbers $b,c$

Rational Decomposition

If ${\triangle^k f}$ is constant and $f_n = p(n)$ for all $n \le k$ then $f_n = p(n)$ for all $n \in \mathbb N$

Analytical Expression of complex roots of a polynomial

Need help solving the below mentioned equation.

Let $\alpha$ be an algebraic integer, $R=\Bbb Z[\alpha]$, and $m \in \mathbb{Z}$. Prove that $ R/mR$ is finite and find $|R/mR|$

Find polynomial with some conditions

Can the zero set of irreducible polynomial, with complex coefficients, in more than one variable, ever be compact in Euclidean topology?

Integral of a special combination of polynomial and exponential functions

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