Question

Why is it that if a ring is simple, its center must be a field?

score 1.3k · Answer 1 · 2026-04-15 07:27:37

1.3k

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Why is it that if a ring is simple, its center must be a field?

Published on 15 Apr 2026 - 7:27

score 151 · Answer 2 · 2026-04-16 10:13:10

151

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Why is $\beta$ transcendental over $K$?

Published on 16 Apr 2026 - 10:13

score 80 · Answer 3 · 2026-04-23 19:11:25

80

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Bound on number of edges on subgraphs of Cayley graphs

Published on 23 Apr 2026 - 19:11

score 780 · Answer 4 · 2026-04-17 15:29:19

780

Views

How can you construct a field of a given order?

Published on 17 Apr 2026 - 15:29

score 32 · Answer 5 · 2026-04-16 02:01:15

32

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Order of an element in $F_2[X]/X^5+X^2+1$

Published on 16 Apr 2026 - 2:01

score 20 · Answer 6 · 2026-04-17 11:09:47

20

Views

Showing that a simple ring is either the set containing 0 or one of its products must be 0

Published on 17 Apr 2026 - 11:09

score 922 · Answer 7 · 2026-04-16 15:09:26

922

Views

Finding normal subgroups of G given a homomorphism from $G$ onto $Z_6 \oplus Z_2$ with $|Ker\phi|=5$

Published on 16 Apr 2026 - 15:09

score 791 · Answer 8 · 2026-04-14 00:09:53

791

Views

Opposite rings and their corresponding rings

Published on 14 Apr 2026 - 0:09

score 145 · Answer 9 · 2026-04-13 13:26:03

145

Views

Find the roots of a polynomial with modulus coefficients?

Published on 13 Apr 2026 - 13:26

score 90 · Answer 10 · 2026-04-13 19:23:42

90

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For every non-identity g∈G, there is exactly one element of S fixed by g. Prove that |S|mod k = 1.

Published on 13 Apr 2026 - 19:23

score 60 · Answer 11 · 2026-04-11 19:53:18

60

Views

cycles in a group of permutations

Published on 11 Apr 2026 - 19:53

score 2.3k · Answer 12 · 2026-04-13 03:19:05

2.3k

Views

Prove that $\mathbb{Z}_5$ is a field

Published on 13 Apr 2026 - 3:19

score 658 · Answer 13 · 2026-04-11 23:11:54

658

Views

When is the unit group of a ring R cyclic?

Published on 11 Apr 2026 - 23:11

score 1.3k · Answer 14 · 2026-04-17 05:36:58

1.3k

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Find the greatest common divisor of $f(x)=2x^3+2x^2+x+4$ and $g(x)=x^4+3x^3+4x^2+3x$

Published on 17 Apr 2026 - 5:36

score 163 · Answer 15 · 2026-05-03 17:15:29

163

Views

On the Fermat-Taylor-Wiles proof from integers to polynomials, and Langlands program

Published on 03 May 2026 - 17:15

List Question

Why is it that if a ring is simple, its center must be a field?

Why is $\beta$ transcendental over $K$?

Bound on number of edges on subgraphs of Cayley graphs

How can you construct a field of a given order?

Order of an element in $F_2[X]/X^5+X^2+1$

Showing that a simple ring is either the set containing 0 or one of its products must be 0

Finding normal subgroups of G given a homomorphism from $G$ onto $Z_6 \oplus Z_2$ with $|Ker\phi|=5$

Opposite rings and their corresponding rings

Find the roots of a polynomial with modulus coefficients?

For every non-identity g∈G, there is exactly one element of S fixed by g. Prove that |S|mod k = 1.

cycles in a group of permutations

Prove that $\mathbb{Z}_5$ is a field

When is the unit group of a ring R cyclic?

Find the greatest common divisor of $f(x)=2x^3+2x^2+x+4$ and $g(x)=x^4+3x^3+4x^2+3x$

On the Fermat-Taylor-Wiles proof from integers to polynomials, and Langlands program

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