Question

If $R$ is a finite ring, then $\exists_{n>m>0}: x^n=x^m$ for all $x\in R$

score 360 · Answer 1 · 2019-03-19 15:51:41

360

Views

If $R$ is a finite ring, then $\exists_{n>m>0}: x^n=x^m$ for all $x\in R$

Published on 19 Mar 2019 - 15:51

score 421 · Answer 2 · 2019-03-26 23:39:35

421

Views

Do there exist finite commutative rings with identity that are not Bézout rings?

Published on 26 Mar 2019 - 23:39

score 53 · Answer 3 · 2019-04-26 03:56:02

53

Views

Stuck: Finding an Isomorphism for an Invertible Ring

Published on 26 Apr 2019 - 3:56

score 680 · Answer 4 · 2019-06-02 13:56:26

680

Views

Ideals and order of a polynomial ring

Published on 02 Jun 2019 - 13:56

score 145 · Answer 5 · 2019-06-08 09:30:02

145

Views

How many solutions of $x^{p+1} \equiv 1 \mod p^{2017}$

Published on 08 Jun 2019 - 9:30

score 460 · Answer 6 · 2019-07-15 23:17:02

460

Views

Finite Non Commutative Rings of Cardinality n

Published on 15 Jul 2019 - 23:17

score 57 · Answer 7 · 2019-08-06 09:51:18

57

Views

Find finite rings $(R,+,\times)$ such that for every unit $r$, $r-1$ is a unit except $r=1$.

Published on 06 Aug 2019 - 9:51

score 29 · Answer 8 · 2019-08-14 15:02:56

29

Views

GAP — GeneratorsOfRing giving a list with repeated element

Published on 14 Aug 2019 - 15:02

score 38 · Answer 9 · 2019-08-19 20:55:20

38

Views

Show finite ring has identity when for each $x$ there exists $y$ such that $xyx = x$.

Published on 19 Aug 2019 - 20:55

score 83 · Answer 10 · 2019-09-02 03:30:13

83

Views

Constructing the group SL$_2$ of $\mathbb{Z}[i]$ mod $p$ in GAP

Published on 02 Sep 2019 - 3:30

score 274 · Answer 11 · 2014-03-18 13:12:05

274

Views

Quotient Ring of finite order with root of irreducible polynomial

Published on 18 Mar 2014 - 13:12

score 1.1k · Answer 12 · 2014-04-28 09:02:47

1.1k

Views

Example of a finite ring with identity containing a ring without identity

Published on 28 Apr 2014 - 9:02

score 1.1k · Answer 13 · 2014-05-09 13:48:59

1.1k

Views

Can anyone explain the difference between a ring, a group, and a field in a way so that your average 15 year old can understand?

Published on 09 May 2014 - 13:48

score 20 · Answer 14 · 2014-05-12 21:05:47

20

Views

Is there anything interesting we can do with this fact on iterates of polynomials over a finite ring?

Published on 12 May 2014 - 21:05

score 1.9k · Answer 15 · 2014-06-10 07:37:11

1.9k

Views

Number of non trivial ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$

Published on 10 Jun 2014 - 7:37

List Question

If $R$ is a finite ring, then $\exists_{n>m>0}: x^n=x^m$ for all $x\in R$

Do there exist finite commutative rings with identity that are not Bézout rings?

Stuck: Finding an Isomorphism for an Invertible Ring

Ideals and order of a polynomial ring

How many solutions of $x^{p+1} \equiv 1 \mod p^{2017}$

Finite Non Commutative Rings of Cardinality n

Find finite rings $(R,+,\times)$ such that for every unit $r$, $r-1$ is a unit except $r=1$.

GAP — GeneratorsOfRing giving a list with repeated element

Show finite ring has identity when for each $x$ there exists $y$ such that $xyx = x$.

Constructing the group SL$_2$ of $\mathbb{Z}[i]$ mod $p$ in GAP

Quotient Ring of finite order with root of irreducible polynomial

Example of a finite ring with identity containing a ring without identity

Can anyone explain the difference between a ring, a group, and a field in a way so that your average 15 year old can understand?

Is there anything interesting we can do with this fact on iterates of polynomials over a finite ring?

Number of non trivial ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$

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