Question

Equational axiomatization and first-order axiomatization of the class of fields united with the class of Boolean algebras

score 89 · Answer 1 · 2026-04-14 11:48:15

89

Views

Equational axiomatization and first-order axiomatization of the class of fields united with the class of Boolean algebras

Published on 14 Apr 2026 - 11:48

score 130 · Answer 2 · 2026-04-13 07:24:45

130

Views

Compatibility of formally real extensions of an ordered field

Published on 13 Apr 2026 - 7:24

score 110 · Answer 3 · 2026-04-14 15:54:25

110

Views

Show two sets are isomorphic as fields

Published on 14 Apr 2026 - 15:54

score 99 · Answer 4 · 2026-05-15 23:15:00

99

Views

Find invertible matrices over a field such that the set of a vector multiplied by them is linearly independent

Published on 15 May 2026 - 23:15

score 238 · Answer 5 · 2026-04-12 10:44:27

238

Views

Quotients of non-commutative rings.

Published on 12 Apr 2026 - 10:44

score 98 · Answer 6 · 2026-05-10 23:30:45

98

Views

Let $D:\mathbb{R}(x)\to\mathbb{R}(x)$ be the algebraic(!) differential operator such that $D(x)=1$. Is it true that $D(c)=0$ for all $c\in\mathbb{R}$?

Published on 10 May 2026 - 23:30

score 68 · Answer 7 · 2026-04-11 03:41:10

68

Views

Definition of splitting field: Why do we require centrality?

Published on 11 Apr 2026 - 3:41

score 81 · Answer 8 · 2026-04-16 00:29:05

81

Views

Suppose I have a field extension $K/F$ and the dimension of $K$ over $F$ is 1. Why can I conclude that $K=F$?

Published on 16 Apr 2026 - 0:29

score 61 · Answer 9 · 2026-04-16 06:29:54

61

Views

Degrees of field extensions $[\mathbb{C}(x,y):\mathbb{C}(xy^n+x^ny)]$ and $[\mathbb{C}(x,y):\mathbb{C}(x+y^n,x^n+y)]$

Published on 16 Apr 2026 - 6:29

score 41 · Answer 10 · 2026-04-11 02:54:43

41

Views

Finding the inverse of $\bar{x}$ in $\bar{E}.$

Published on 11 Apr 2026 - 2:54

score 76 · Answer 11 · 2026-04-15 17:26:58

76

Views

Where exactly does the integral definition of the gradient come from?

Published on 15 Apr 2026 - 17:26

score 52 · Answer 12 · 2026-04-15 06:35:54

52

Views

Is the simple extension $\mathbb{Q}(a)$, with $a$ a real seventh root of 5, a splitting field?

Published on 15 Apr 2026 - 6:35

score 119 · Answer 13 · 2026-04-17 01:53:58

119

Views

If $\alpha$ is algebraic over $\mathbb{Q}$, then is it always true that $\mathbb{Q}[\alpha] = \mathbb{Q}(\alpha)$?

Published on 17 Apr 2026 - 1:53

score 147 · Answer 14 · 2026-04-13 06:21:44

147

Views

Understanding $\sigma$-algebra with a collection of subsets

Published on 13 Apr 2026 - 6:21

score 143 · Answer 15 · 2026-03-26 21:25:43

143

Views

Is a formal power series a fraction of polynomials?

Published on 26 Mar 2026 - 21:25

List Question

Equational axiomatization and first-order axiomatization of the class of fields united with the class of Boolean algebras

Compatibility of formally real extensions of an ordered field

Show two sets are isomorphic as fields

Find invertible matrices over a field such that the set of a vector multiplied by them is linearly independent

Quotients of non-commutative rings.

Let $D:\mathbb{R}(x)\to\mathbb{R}(x)$ be the algebraic(!) differential operator such that $D(x)=1$. Is it true that $D(c)=0$ for all $c\in\mathbb{R}$?

Definition of splitting field: Why do we require centrality?

Suppose I have a field extension $K/F$ and the dimension of $K$ over $F$ is 1. Why can I conclude that $K=F$?

Degrees of field extensions $[\mathbb{C}(x,y):\mathbb{C}(xy^n+x^ny)]$ and $[\mathbb{C}(x,y):\mathbb{C}(x+y^n,x^n+y)]$

Finding the inverse of $\bar{x}$ in $\bar{E}.$

Where exactly does the integral definition of the gradient come from?

Is the simple extension $\mathbb{Q}(a)$, with $a$ a real seventh root of 5, a splitting field?

If $\alpha$ is algebraic over $\mathbb{Q}$, then is it always true that $\mathbb{Q}[\alpha] = \mathbb{Q}(\alpha)$?

Understanding $\sigma$-algebra with a collection of subsets

Is a formal power series a fraction of polynomials?

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