Question

Are there different products that turn $\,\Bbb R^2$ into a field?

score 84 · Answer 1 · 2026-04-09 17:35:38

84

Views

Are there different products that turn $\,\Bbb R^2$ into a field?

Published on 09 Apr 2026 - 17:35

score 173 · Answer 2 · 2026-04-10 01:15:47

173

Views

In what rings is every ideal a fractional ideal?

Published on 10 Apr 2026 - 1:15

score 174 · Answer 3 · 2026-04-11 06:21:57

174

Views

Intersection of two Field Extensions of a function field

Published on 11 Apr 2026 - 6:21

score 61 · Answer 4 · 2026-04-16 14:51:35

61

Views

Reference Request - an approachable survey of Gauss' work on the class number of quadratic number fields using quadratic forms

Published on 16 Apr 2026 - 14:51

score 30 · Answer 5 · 2026-04-17 14:15:56

30

Views

Intuitive meaning behind f' = 0 implies inseparability

Published on 17 Apr 2026 - 14:15

score 197 · Answer 6 · 2026-04-12 09:17:16

197

Views

Can we compute the class number of an algebraic number field without using the Minkowski bound?

Published on 12 Apr 2026 - 9:17

score 88 · Answer 7 · 2026-02-23 02:43:36

88

Views

If $k\subset F\subset E $ is a tower of fields, prove that $\operatorname{tr\,deg}(E/k) =\operatorname{tr\,deg}(E/F) +\operatorname{tr\,deg}(F/k).$

Published on 23 Feb 2026 - 2:43

score 43 · Answer 8 · 2026-03-28 14:44:23

43

Views

Galois Extension and Principal ideal in $F[x]$

Published on 28 Mar 2026 - 14:44

score 1.1k · Answer 9 · 2026-02-23 02:43:42

1.1k

Views

Two algebraically closed fields are isomorphic if and only if they have the same transcendence degree over their prime fields.

Published on 23 Feb 2026 - 2:43

score 67 · Answer 10 · 2026-04-09 15:21:23

67

Views

Question in Proof of Fundamental theorem of Algebra using Galois Theory

Published on 09 Apr 2026 - 15:21

score 457 · Answer 11 · 2026-04-12 22:12:33

457

Views

Abstract Algebra ( tutoring suggestions )

Published on 12 Apr 2026 - 22:12

score 42 · Answer 12 · 2026-04-14 14:10:31

42

Views

Dickson's pair, semi-field, algebra

Published on 14 Apr 2026 - 14:10

score 216 · Answer 13 · 2026-04-09 06:20:00

216

Views

Every algebraic extension of a finite field is a finite extension. True or False?

Published on 09 Apr 2026 - 6:20

score 27 · Answer 14 · 2026-04-15 02:44:31

27

Views

Is this a unary operation or simply a declaration?

Published on 15 Apr 2026 - 2:44

score 242 · Answer 15 · 2026-03-25 09:53:29

242

Views

Cyclotomic field of 9th root of unity

Published on 25 Mar 2026 - 9:53

List Question

Are there different products that turn $\,\Bbb R^2$ into a field?

In what rings is every ideal a fractional ideal?

Intersection of two Field Extensions of a function field

Reference Request - an approachable survey of Gauss' work on the class number of quadratic number fields using quadratic forms

Intuitive meaning behind f' = 0 implies inseparability

Can we compute the class number of an algebraic number field without using the Minkowski bound?

If $k\subset F\subset E $ is a tower of fields, prove that $\operatorname{tr\,deg}(E/k) =\operatorname{tr\,deg}(E/F) +\operatorname{tr\,deg}(F/k).$

Galois Extension and Principal ideal in $F[x]$

Two algebraically closed fields are isomorphic if and only if they have the same transcendence degree over their prime fields.

Question in Proof of Fundamental theorem of Algebra using Galois Theory

Abstract Algebra ( tutoring suggestions )

Dickson's pair, semi-field, algebra

Every algebraic extension of a finite field is a finite extension. True or False?

Is this a unary operation or simply a declaration?

Cyclotomic field of 9th root of unity

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