Question

Does the group of rationals under addition have a basis?

score 179 · Answer 1 · 2026-03-27 21:20:43

179

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Does the group of rationals under addition have a basis?

Published on 27 Mar 2026 - 21:20

score 447 · Answer 2 · 2026-04-07 23:01:26

447

Views

If A is dense in (0, 1), then A is dense in R

Published on 07 Apr 2026 - 23:01

score 102 · Answer 3 · 2020-11-16 14:05:01

102

Views

The orthogonal behaviour of a subset of vector spaces

Published on 16 Nov 2020 - 14:05

score 63 · Answer 4 · 2026-04-07 22:58:20

63

Views

$a \in \mathbb{R}$ and $a^7, a^{12} \in \mathbb{Q}$. Prove that $a \in \mathbb{Q}$.

Published on 07 Apr 2026 - 22:58

score 155 · Answer 5 · 2020-11-18 13:33:58

155

Views

Prove that there is no rational root of $x^3+x+1=0$ by contradiction

Published on 18 Nov 2020 - 13:33

score 30 · Answer 6 · 2020-11-20 22:10:47

30

Views

Finding small rational solution to under-defined linear equations.

Published on 20 Nov 2020 - 22:10

score 69 · Answer 7 · 2020-11-21 08:54:18

69

Views

Does $\operatorname{Re}(a+bi)^{n}=\operatorname{Re}(a+bi)^{n+1}$ have at least one solution $a,b\in\mathbb{Q}$, for all $n\in\mathbb{N}$?

Published on 21 Nov 2020 - 8:54

score 22 · Answer 8 · 2026-03-31 15:13:25

22

Views

Automorphisms of a structure of non-zero rational numbers with multiplication

Published on 31 Mar 2026 - 15:13

score 67 · Answer 9 · 2026-04-08 00:45:53

67

Views

Do we come to a contradiction if we accept completeness axiom for rational numbers?

Published on 08 Apr 2026 - 0:45

score 37 · Answer 10 · 2026-02-23 20:40:51

37

Views

A Symmetric Numeric System of Multiplicative Inverses?

Published on 23 Feb 2026 - 20:40

score 73 · Answer 11 · 2020-11-23 16:02:57

73

Views

Find rational $a,b$ with $a\ne b$ such that $x²-bx-\frac{a³-b³}{3b}=0$ has rational solutions

Published on 23 Nov 2020 - 16:02

score 15 · Answer 12 · 2026-03-04 07:03:15

15

Views

Simplification of complex rational?

Published on 04 Mar 2026 - 7:03

score 71 · Answer 13 · 2020-11-30 06:43:08

Can the set of positive rational numbers be decomposed into two non-empty, disjoint parts such that closed by the addition for?

score 456 · Answer 14 · 2020-12-01 06:35:01

456

Views

Countability of $\mathbb Q\cap[0,1]$

Published on 01 Dec 2020 - 6:35

score 55 · Answer 15 · 2026-03-27 00:04:29

55

Views

A property for subsets of real numbers with the condition $\mathbb{Q}^++A\subseteq A$

Published on 27 Mar 2026 - 0:04

List Question

Does the group of rationals under addition have a basis?

If A is dense in (0, 1), then A is dense in R

The orthogonal behaviour of a subset of vector spaces

$a \in \mathbb{R}$ and $a^7, a^{12} \in \mathbb{Q}$. Prove that $a \in \mathbb{Q}$.

Prove that there is no rational root of $x^3+x+1=0$ by contradiction

Finding small rational solution to under-defined linear equations.

Does $\operatorname{Re}(a+bi)^{n}=\operatorname{Re}(a+bi)^{n+1}$ have at least one solution $a,b\in\mathbb{Q}$, for all $n\in\mathbb{N}$?

Automorphisms of a structure of non-zero rational numbers with multiplication

Do we come to a contradiction if we accept completeness axiom for rational numbers?

A Symmetric Numeric System of Multiplicative Inverses?

Find rational $a,b$ with $a\ne b$ such that $x²-bx-\frac{a³-b³}{3b}=0$ has rational solutions

Simplification of complex rational?

Can the set of positive rational numbers be decomposed into two non-empty, disjoint parts such that closed by the addition for?

Countability of $\mathbb Q\cap[0,1]$

A property for subsets of real numbers with the condition $\mathbb{Q}^++A\subseteq A$

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