List questions from finite-rings

Published on 20 Jul 2016 - 8:10

1.1k

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Proving every nonzero element in a finite ring is either a unit or a zero divisor

Published on 19 Aug 2016 - 4:43

88

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$R$ be a commutative ring with unity , $|R^{\times}|=p$ an odd prime then is $R$ isomorphic to a quotient of $\mathbb Z_2[x]/\langle x^p-1\rangle$?

Published on 06 Sep 2016 - 15:23

62

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A relation in a finite ring

Published on 09 Sep 2016 - 15:32

77

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Why $\mathbb{Z}_p$ over $\mathbb{Z}_{p^2}$ cannot be free?

Published on 09 Oct 2016 - 17:26

39

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Any hint with the next theorem?

Published on 23 Feb 2026 - 2:07

1.1k

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Is a p-Sylow subgroup of the underlying additive group of a finite commutative ring an ideal?

Published on 12 Dec 2016 - 4:32

971

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How many isomorphism classes of associative rings (with identity) are there with 35 elements?

Published on 12 Dec 2016 - 11:01

344

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why is the set of intersections and symmetric differences of a fixed set finite

Published on 22 Feb 2026 - 23:40

180

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Prove that $\mathbb{Z}[i]$ is a euclidean domain (intuition behind the geometric proof)

Published on 08 Feb 2017 - 16:26

330

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Factoring polynomials in $\mathbb Q[x]$ and $\mathbb Z[i]$

Published on 15 Feb 2017 - 2:11

910

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Definition of a Quotient Ring (need clarification).

Published on 18 Feb 2017 - 1:04

1.3k

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How to describe all ideals in a quotient ring?

Published on 18 Feb 2017 - 17:56

1.2k

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How to find the GCD of $29-3i$ and $11+10i$

Published on 18 Feb 2017 - 20:06

479

Views

How to describe a ring after adjoining an element to it?

Published on 20 Feb 2017 - 19:19

List Question

Extension of a finite field to a finite non commutative ring

Proving every nonzero element in a finite ring is either a unit or a zero divisor

$R$ be a commutative ring with unity , $|R^{\times}|=p$ an odd prime then is $R$ isomorphic to a quotient of $\mathbb Z_2[x]/\langle x^p-1\rangle$?

A relation in a finite ring

Why $\mathbb{Z}_p$ over $\mathbb{Z}_{p^2}$ cannot be free?

Any hint with the next theorem?

Is a p-Sylow subgroup of the underlying additive group of a finite commutative ring an ideal?

How many isomorphism classes of associative rings (with identity) are there with 35 elements?

why is the set of intersections and symmetric differences of a fixed set finite

Prove that $\mathbb{Z}[i]$ is a euclidean domain (intuition behind the geometric proof)

Factoring polynomials in $\mathbb Q[x]$ and $\mathbb Z[i]$

Definition of a Quotient Ring (need clarification).

How to describe all ideals in a quotient ring?

How to find the GCD of $29-3i$ and $11+10i$

How to describe a ring after adjoining an element to it?

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