Question

How is multiplication defined in the field extension $\mathbb Z_p(\sqrt3+5i)$

score 90 · Answer 1 · 2023-05-18 18:15:00

90

Views

How is multiplication defined in the field extension $\mathbb Z_p(\sqrt3+5i)$

Published on 18 May 2023 - 18:15

score 32 · Answer 2 · 2023-05-20 15:04:08

32

Views

Problems with finding minimum polynomial of each element in Galois Field

Published on 20 May 2023 - 15:04

score 61 · Answer 3 · 2023-05-21 14:26:18

61

Views

Showing every element in $\mathbb{F}_{25}$ is a power of a given element

Published on 21 May 2023 - 14:26

score 62 · Answer 4 · 2023-05-22 10:55:52

62

Views

Ring $A$ with $4$ elements

Published on 22 May 2023 - 10:55

score 67 · Answer 5 · 2023-05-22 13:37:56

67

Views

Can we find $p_n(x) \in \Bbb Z[x]$ such that a ring $R$ with $|R| = n$ is a field if and only if $p_n(x)$ has a root in $R$?

Published on 22 May 2023 - 13:37

score 63 · Answer 6 · 2026-02-23 08:34:01

63

Views

Are all algebraic extensions of finite fields separable? What about fields of characteristic p in general?

Published on 23 Feb 2026 - 8:34

score 82 · Answer 7 · 2026-04-03 22:41:11

82

Views

How can I find a right-inverse of a fat matrix over $\Bbb F_2$?

Published on 03 Apr 2026 - 22:41

score 139 · Answer 8 · 2026-04-04 19:13:43

139

Views

Factorization of $x^{38} - 1$ in $F_5$

Published on 04 Apr 2026 - 19:13

score 138 · Answer 9 · 2026-04-02 02:08:19

138

Views

Supersingular elliptic curve over finite field char=2

Published on 02 Apr 2026 - 2:08

score 39 · Answer 10 · 2026-03-26 01:07:27

39

Views

Zeta function for Powerful Polynomials over Finite Field

Published on 26 Mar 2026 - 1:07

score 143 · Answer 11 · 2023-05-27 14:58:57

143

Views

Tensor product $A \otimes_{F} B$ of finitely generated algebras $A, B$ with no zero divisors over a field has no nilpotents

Published on 27 May 2023 - 14:58

score 112 · Answer 12 · 2023-05-27 17:09:18

112

Views

Can we always find matrices $M,N$ such that $\ker(MA+NB) = \ker(A) \cap \ker(B)$?

Published on 27 May 2023 - 17:09

score 35 · Answer 13 · 2023-05-30 16:18:14

35

Views

Sets of matrices with differences invertible with high probability

Published on 30 May 2023 - 16:18

score 92 · Answer 14 · 2026-03-28 12:14:48

92

Views

Is there an element of order $n$ in all roots of $x^n - 1$ modulo $q$ where $q$ is a prime number and $n \mid q-1$

Published on 28 Mar 2026 - 12:14

score 41 · Answer 15 · 2026-03-28 03:02:38

41

Views

how to minimize trace(mod(A*X,2)) for A ,X matrices

Published on 28 Mar 2026 - 3:02

List Question

How is multiplication defined in the field extension $\mathbb Z_p(\sqrt3+5i)$

Problems with finding minimum polynomial of each element in Galois Field

Showing every element in $\mathbb{F}_{25}$ is a power of a given element

Ring $A$ with $4$ elements

Can we find $p_n(x) \in \Bbb Z[x]$ such that a ring $R$ with $|R| = n$ is a field if and only if $p_n(x)$ has a root in $R$?

Are all algebraic extensions of finite fields separable? What about fields of characteristic p in general?

How can I find a right-inverse of a fat matrix over $\Bbb F_2$?

Factorization of $x^{38} - 1$ in $F_5$

Supersingular elliptic curve over finite field char=2

Zeta function for Powerful Polynomials over Finite Field

Tensor product $A \otimes_{F} B$ of finitely generated algebras $A, B$ with no zero divisors over a field has no nilpotents

Can we always find matrices $M,N$ such that $\ker(MA+NB) = \ker(A) \cap \ker(B)$?

Sets of matrices with differences invertible with high probability

Is there an element of order $n$ in all roots of $x^n - 1$ modulo $q$ where $q$ is a prime number and $n \mid q-1$

how to minimize trace(mod(A*X,2)) for A ,X matrices

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