List questions from finite-rings

Published on 17 Nov 2014 - 19:00

154

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Units in a finite ring

Published on 22 Nov 2014 - 0:29

414

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How to verify an algebraic structure is a ring

Published on 24 Nov 2014 - 19:43

3.8k

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Any ring of prime order commutative ?

Published on 29 Nov 2014 - 8:55

961

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Example of finite ring with a non principal ideal

Published on 17 Dec 2014 - 11:32

100

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Finite Ring with unity and no zero divisors is field

Published on 02 Jan 2015 - 19:22

55

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Ultimately show $R\cong S$ implies $R[x]\cong S[x]$.

Published on 10 Nov 2019 - 20:03

521

Views

Ring homomorphism from matrix ring to smaller ring

Published on 16 Dec 2019 - 9:52

393

Views

Existence of $n$ such that $a^n=a$ for all $a$ in $Z_m$

Published on 15 Feb 2020 - 21:15

57

Views

Prime ideals of $F_q[C_m]$

Published on 27 Feb 2020 - 22:24

338

Views

Is a ring with order $2$ unique? (In the sense of isomorphism)

Published on 26 Mar 2020 - 22:31

19

Views

Is it possible rewrite $\frac{\mathbb{Z}_m [x]}{<f(x)>}$ as a in direct sum for $m$ composite?

Published on 18 May 2020 - 19:48

395

Views

$x^2+3x+3$ is irreducible in $\mathbb{F}_{25}[x]$

Published on 26 May 2020 - 9:35

36

Views

All roots of a polynomial in ring $F_2+uF_2+u^2F_2$, where $u^3=0$

Published on 21 Jun 2020 - 9:46

96

Views

Upper bound for the no. of maximal ideals of a finite commutative ring ( with unity ) in terms of the order of the ring and/or its number of units?

Published on 19 Jul 2016 - 16:13

List Question

How many unique combinations of sets can we get?

Units in a finite ring

How to verify an algebraic structure is a ring

Any ring of prime order commutative ?

Example of finite ring with a non principal ideal

Finite Ring with unity and no zero divisors is field

Ultimately show $R\cong S$ implies $R[x]\cong S[x]$.

Ring homomorphism from matrix ring to smaller ring

Existence of $n$ such that $a^n=a$ for all $a$ in $Z_m$

Prime ideals of $F_q[C_m]$

Is a ring with order $2$ unique? (In the sense of isomorphism)

Is it possible rewrite $\frac{\mathbb{Z}_m [x]}{<f(x)>}$ as a in direct sum for $m$ composite?

$x^2+3x+3$ is irreducible in $\mathbb{F}_{25}[x]$

All roots of a polynomial in ring $F_2+uF_2+u^2F_2$, where $u^3=0$

Upper bound for the no. of maximal ideals of a finite commutative ring ( with unity ) in terms of the order of the ring and/or its number of units?

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