Question

In a finite ring every left-sided zero divisor is a right-sided zero divisor?

score 345 · Answer 1 · 2018-06-18 17:22:30

345

Views

In a finite ring every left-sided zero divisor is a right-sided zero divisor?

Published on 18 Jun 2018 - 17:22

score 424 · Answer 2 · 2026-03-28 21:06:53

424

Views

Given that $R$ is a commutative ring and $I,J$ are ideals in $R$, prove that $(I+J)(I\cap J) \subset IJ.$

Published on 28 Mar 2026 - 21:06

score 1.7k · Answer 3 · 2026-03-26 12:58:30

1.7k

Views

Finite fields containing cube root of unity and square root of $-3$

Published on 26 Mar 2026 - 12:58

score 270 · Answer 4 · 2026-03-28 20:52:54

270

Views

When does the element-wise product $IJ$ form an ideal

Published on 28 Mar 2026 - 20:52

score 86 · Answer 5 · 2026-03-25 06:24:50

86

Views

Finding the inverse of $x^3+x^2+1$ in $\Bbb F_2[x]/(x^4+x^2)$ with the Euclidean algorithm

Published on 25 Mar 2026 - 6:24

score 187 · Answer 6 · 2026-03-27 10:31:44

187

Views

Polynomial ring over a PID with infinitely many primes

Published on 27 Mar 2026 - 10:31

score 385 · Answer 7 · 2026-03-25 13:44:31

385

Views

Number of prime elements in a ring

Published on 25 Mar 2026 - 13:44

score 523 · Answer 8 · 2026-03-25 12:54:40

523

Views

Why is $F[x,y,z]/(x^2-yz)$ a domain?

Published on 25 Mar 2026 - 12:54

score 270 · Answer 9 · 2026-03-28 13:41:56

270

Views

How to compute the degree of $\mathbb{Q}[\sqrt[3]{2}+\sqrt[5]{2}]$ over $\mathbb{Q}$?

Published on 28 Mar 2026 - 13:41

score 36 · Answer 10 · 2018-06-20 14:05:50

36

Views

Show that if, for the ring $(A, \bigtriangleup, \bot)$, $\bot^2x=x$ then $(A, \bigtriangleup, \bot)$ is a commutative ring

Published on 20 Jun 2018 - 14:05

score 43 · Answer 11 · 2026-03-25 17:16:54

43

Views

A non-factorisation domain

Published on 25 Mar 2026 - 17:16

score 1k · Answer 12 · 2026-03-25 21:47:25

1k

Views

Prime ideals in ring of continuous functions

Published on 25 Mar 2026 - 21:47

score 1.7k · Answer 13 · 2026-03-25 02:24:41

1.7k

Views

is $\mathbb{Z}[\sqrt{-11}]$ factorial / UFD?

Published on 25 Mar 2026 - 2:24

score 41 · Answer 14 · 2018-06-20 23:35:34

41

Views

Proving that being $S=${$p \in \Bbb R[x] : p(1) = 0 $}. $(S,+,.)$ is a subring of $(\Bbb R[x],+,.)$

Published on 20 Jun 2018 - 23:35

score 69 · Answer 15 · 2018-06-20 23:36:03

69

Views

Is $a+b=ab=a^{'}+b^{'}=a^{'}b^{'}$ possible for different elements of $\mathbb Z / n \mathbb Z$?

Published on 20 Jun 2018 - 23:36

List Question

In a finite ring every left-sided zero divisor is a right-sided zero divisor?

Given that $R$ is a commutative ring and $I,J$ are ideals in $R$, prove that $(I+J)(I\cap J) \subset IJ.$

Finite fields containing cube root of unity and square root of $-3$

When does the element-wise product $IJ$ form an ideal

Finding the inverse of $x^3+x^2+1$ in $\Bbb F_2[x]/(x^4+x^2)$ with the Euclidean algorithm

Polynomial ring over a PID with infinitely many primes

Number of prime elements in a ring

Why is $F[x,y,z]/(x^2-yz)$ a domain?

How to compute the degree of $\mathbb{Q}[\sqrt[3]{2}+\sqrt[5]{2}]$ over $\mathbb{Q}$?

Show that if, for the ring $(A, \bigtriangleup, \bot)$, $\bot^2x=x$ then $(A, \bigtriangleup, \bot)$ is a commutative ring

A non-factorisation domain

Prime ideals in ring of continuous functions

is $\mathbb{Z}[\sqrt{-11}]$ factorial / UFD?

Proving that being $S=${$p \in \Bbb R[x] : p(1) = 0 $}. $(S,+,.)$ is a subring of $(\Bbb R[x],+,.)$

Is $a+b=ab=a^{'}+b^{'}=a^{'}b^{'}$ possible for different elements of $\mathbb Z / n \mathbb Z$?

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