Question

Which of the following statements are valid for any ring $R$? a) For any $a, b, c, d \in R$, $(a + b)(c + d) = ac + ad + bc + bd$.

score 158 · Answer 1 · 2026-04-14 22:23:19

158

Views

Which of the following statements are valid for any ring $R$? a) For any $a, b, c, d \in R$, $(a + b)(c + d) = ac + ad + bc + bd$.

Published on 14 Apr 2026 - 22:23

score 77 · Answer 2 · 2026-04-14 18:24:04

77

Views

Let $R$ a ring. If $(a \in R \land a^2=0 \implies a=0)$ then $R$ don't have nilpotent elements (not null).

Published on 14 Apr 2026 - 18:24

score 86 · Answer 3 · 2026-04-12 15:08:29

86

Views

Where is the error in this proof? (possibly bad surjection assumption)

Published on 12 Apr 2026 - 15:08

score 277 · Answer 4 · 2026-04-10 15:07:28

277

Views

A question about natural epimorphism

Published on 10 Apr 2026 - 15:07

score 99 · Answer 5 · 2026-04-08 16:07:07

99

Views

Is there mathematical language to discuss groups in terms of their operations, instead of their elements?

Published on 08 Apr 2026 - 16:07

score 1.9k · Answer 6 · 2026-04-14 01:09:05

1.9k

Views

Ideals in $M_{2}(\mathbb{Z})$

Published on 14 Apr 2026 - 1:09

score 81 · Answer 7 · 2026-04-15 22:07:35

81

Views

n-ary algebras?

Published on 15 Apr 2026 - 22:07

score 47 · Answer 8 · 2026-04-10 20:21:09

47

Views

Algebra proof using Lagrange

Published on 10 Apr 2026 - 20:21

score 89 · Answer 9 · 2026-04-08 23:52:25

89

Views

Properties of semidirect product

Published on 08 Apr 2026 - 23:52

score 617 · Answer 10 · 2026-04-24 18:50:36

617

Views

Are there some methods to solve the quintic equation?

Published on 24 Apr 2026 - 18:50

score 30 · Answer 11 · 2026-04-12 04:50:38

30

Views

Finding kernel in a mapping

Published on 12 Apr 2026 - 4:50

score 282 · Answer 12 · 2026-04-16 11:20:57

282

Views

reducible Factor square polynomials(FSP) of degree 2

Published on 16 Apr 2026 - 11:20

score 79 · Answer 13 · 2026-04-11 20:19:03

79

Views

If $D(gh)=D(g)D(h)$ for all $g,h \in GL(V)$, then also for all $g, h \in End(V)$

Published on 11 Apr 2026 - 20:19

score 57 · Answer 14 · 2026-04-11 20:45:03

57

Views

Show that $1+a^2b$ is invertible in the ring A

Published on 11 Apr 2026 - 20:45

score 86 · Answer 15 · 2026-04-12 05:26:57

86

Views

Proving maximal ideals of $\mathbb{Z}[x]$ contain a prime

Published on 12 Apr 2026 - 5:26

List Question

Which of the following statements are valid for any ring $R$? a) For any $a, b, c, d \in R$, $(a + b)(c + d) = ac + ad + bc + bd$.

Let $R$ a ring. If $(a \in R \land a^2=0 \implies a=0)$ then $R$ don't have nilpotent elements (not null).

Where is the error in this proof? (possibly bad surjection assumption)

A question about natural epimorphism

Is there mathematical language to discuss groups in terms of their operations, instead of their elements?

Ideals in $M_{2}(\mathbb{Z})$

n-ary algebras?

Algebra proof using Lagrange

Properties of semidirect product

Are there some methods to solve the quintic equation?

Finding kernel in a mapping

reducible Factor square polynomials(FSP) of degree 2

If $D(gh)=D(g)D(h)$ for all $g,h \in GL(V)$, then also for all $g, h \in End(V)$

Show that $1+a^2b$ is invertible in the ring A

Proving maximal ideals of $\mathbb{Z}[x]$ contain a prime

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