Question

ring homomorphism from $\mathbb Z\oplus\mathbb Z$ into $\mathbb Z\oplus\mathbb Z$.

score 329 · Answer 1 · 2026-04-10 03:50:08

329

Views

ring homomorphism from $\mathbb Z\oplus\mathbb Z$ into $\mathbb Z\oplus\mathbb Z$.

Published on 10 Apr 2026 - 3:50

score 116 · Answer 2 · 2026-04-16 20:04:19

116

Views

$F$ is a field $\implies$ $1_F \neq 0_F$

Published on 16 Apr 2026 - 20:04

score 809 · Answer 3 · 2026-04-15 10:07:08

809

Views

Cardinality of a Quotient Ring

Published on 15 Apr 2026 - 10:07

score 578 · Answer 4 · 2026-04-14 07:41:35

578

Views

The condition that a ring is a principal ideal domain

Published on 14 Apr 2026 - 7:41

score 5.3k · Answer 5 · 2026-04-14 22:24:27

5.3k

Views

I understand what a division ring is, but cannot find any examples. Can anyone give me one?

Published on 14 Apr 2026 - 22:24

score 766 · Answer 6 · 2026-04-13 05:41:18

766

Views

Morita contexts without tears

Published on 13 Apr 2026 - 5:41

score 127 · Answer 7 · 2026-04-11 21:35:34

127

Views

Is it Possible to Add or Multiply Groups?

Published on 11 Apr 2026 - 21:35

score 24 · Answer 8 · 2026-04-14 23:05:19

24

Views

Why does $\langle 1/p^n+\mathbb{Z}\rangle\supseteq\langle 1/p^m+\mathbb{Z}\rangle$ imply $n\geq m$?

Published on 14 Apr 2026 - 23:05

score 464 · Answer 9 · 2026-04-12 04:46:04

464

Views

$\Bbb Z[x]$ is not a principal domain

Published on 12 Apr 2026 - 4:46

score 2k · Answer 10 · 2026-04-10 12:58:21

2k

Views

$R/I$ is commutative iff $rs-sr \in I$

Published on 10 Apr 2026 - 12:58

score 1.4k · Answer 11 · 2026-04-13 09:33:10

1.4k

Views

if $R$ is a commutative ring with unity and $A$ is a proper ideal of $R$ ,then $R/A$ is a commutative ring with unity

Published on 13 Apr 2026 - 9:33

score 102 · Answer 12 · 2026-04-15 03:56:19

102

Views

$F[x]/\langle x^2\rangle$ is not an integral domain

Published on 15 Apr 2026 - 3:56

score 247 · Answer 13 · 2026-04-11 07:01:16

247

Views

how to define size function in Euclidean domain

Published on 11 Apr 2026 - 7:01

score 530 · Answer 14 · 2026-04-17 02:52:45

530

Views

${\rm Hom}_R(M, R/M) =\{0\} \implies R$ is a field.

Published on 17 Apr 2026 - 2:52

score 449 · Answer 15 · 2026-04-12 07:10:06

449

Views

writing elements of $\mathbb Z_5[x]/I$

Published on 12 Apr 2026 - 7:10

List Question

ring homomorphism from $\mathbb Z\oplus\mathbb Z$ into $\mathbb Z\oplus\mathbb Z$.

$F$ is a field $\implies$ $1_F \neq 0_F$

Cardinality of a Quotient Ring

The condition that a ring is a principal ideal domain

I understand what a division ring is, but cannot find any examples. Can anyone give me one?

Morita contexts without tears

Is it Possible to Add or Multiply Groups?

Why does $\langle 1/p^n+\mathbb{Z}\rangle\supseteq\langle 1/p^m+\mathbb{Z}\rangle$ imply $n\geq m$?

$\Bbb Z[x]$ is not a principal domain

$R/I$ is commutative iff $rs-sr \in I$

if $R$ is a commutative ring with unity and $A$ is a proper ideal of $R$ ,then $R/A$ is a commutative ring with unity

$F[x]/\langle x^2\rangle$ is not an integral domain

how to define size function in Euclidean domain

${\rm Hom}_R(M, R/M) =\{0\} \implies R$ is a field.

writing elements of $\mathbb Z_5[x]/I$

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