Question

does algebra over algebraically closed field has isomorphism classes of irreducible modules?

score 80 · Answer 1 · 2026-04-13 18:57:13

80

Views

does algebra over algebraically closed field has isomorphism classes of irreducible modules?

Published on 13 Apr 2026 - 18:57

score 93 · Answer 2 · 2026-04-16 19:23:48

93

Views

What is $\mathbb{F}_p(\sqrt{X})\otimes_{\mathbb{F}_p(X)} \mathbb{F}_p(\sqrt{X})$?

Published on 16 Apr 2026 - 19:23

score 591 · Answer 3 · 2026-04-14 01:10:54

591

Views

Primitive element theorem w/o Galois theory (as in Lang's Algebra)

Published on 14 Apr 2026 - 1:10

score 69 · Answer 4 · 2026-04-16 05:05:00

69

Views

why the algebra $A = k[x]/(x^n)$ has finite representation type?

Published on 16 Apr 2026 - 5:05

score 149 · Answer 5 · 2026-03-25 11:52:50

149

Views

minimal polynomial in Kummer extension

Published on 25 Mar 2026 - 11:52

score 55 · Answer 6 · 2026-04-11 04:27:32

55

Views

Field structure of non solvable field extensions

Published on 11 Apr 2026 - 4:27

score 123 · Answer 7 · 2026-04-17 00:13:29

123

Views

Is the polynomial $f(x) = x^4 + tx^3 + (t^2 + 1)x^2 + (t^3 + t)x + (t^4 + t^2)$ irreducible over $k(t)$?

Published on 17 Apr 2026 - 0:13

score 234 · Answer 8 · 2026-04-12 22:13:41

234

Views

Algebraic expression of Prime of form $4k-1$

Published on 12 Apr 2026 - 22:13

score 312 · Answer 9 · 2026-04-12 00:51:12

312

Views

When the sum of two generators of a simple field extension is also a generator?

Published on 12 Apr 2026 - 0:51

score 89 · Answer 10 · 2026-04-12 19:43:36

89

Views

Why $a+b$ is a generator of $F(a,b)$ over $F$, where $F$ is a field of characteristic zero.

Published on 12 Apr 2026 - 19:43

score 2.8k · Answer 11 · 2026-04-13 11:05:04

2.8k

Views

Generic Element of Compositum of Two Fields

Published on 13 Apr 2026 - 11:05

score 25 · Answer 12 · 2026-04-17 10:25:31

25

Views

$F(a_1,\ldots,a_n) = F(a_1+t_2 a_n+\cdots+t_n a_n)$ if Extension is Simple?

Published on 17 Apr 2026 - 10:25

score 78 · Answer 13 · 2026-04-14 02:09:00

78

Views

Does the uniqueness of splitting fields up to non-canonical isomorphism fall from algebraic geometry?

Published on 14 Apr 2026 - 2:09

score 297 · Answer 14 · 2026-04-11 05:50:36

297

Views

Confusion about generated subrings and subfields

Published on 11 Apr 2026 - 5:50

score 203 · Answer 15 · 2026-04-16 00:05:50

203

Views

Does any isomorphism of splitting fields automatically fix the base field?

Published on 16 Apr 2026 - 0:05

List Question

does algebra over algebraically closed field has isomorphism classes of irreducible modules?

What is $\mathbb{F}_p(\sqrt{X})\otimes_{\mathbb{F}_p(X)} \mathbb{F}_p(\sqrt{X})$?

Primitive element theorem w/o Galois theory (as in Lang's Algebra)

why the algebra $A = k[x]/(x^n)$ has finite representation type?

minimal polynomial in Kummer extension

Field structure of non solvable field extensions

Is the polynomial $f(x) = x^4 + tx^3 + (t^2 + 1)x^2 + (t^3 + t)x + (t^4 + t^2)$ irreducible over $k(t)$?

Algebraic expression of Prime of form $4k-1$

When the sum of two generators of a simple field extension is also a generator?

Why $a+b$ is a generator of $F(a,b)$ over $F$, where $F$ is a field of characteristic zero.

Generic Element of Compositum of Two Fields

$F(a_1,\ldots,a_n) = F(a_1+t_2 a_n+\cdots+t_n a_n)$ if Extension is Simple?

Does the uniqueness of splitting fields up to non-canonical isomorphism fall from algebraic geometry?

Confusion about generated subrings and subfields

Does any isomorphism of splitting fields automatically fix the base field?

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