List questions from ring-theory

Published on 01 Apr 2018 - 19:17

1.3k

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Why is it that if a ring is simple, its center must be a field?

Published on 01 Apr 2018 - 19:54

18

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Showing that a simple ring is either the set containing 0 or one of its products must be 0

Published on 01 Apr 2018 - 22:34

788

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Opposite rings and their corresponding rings

Published on 01 Apr 2018 - 23:03

656

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When is the unit group of a ring R cyclic?

Published on 25 Mar 2026 - 16:01

1.3k

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Find the greatest common divisor of $f(x)=2x^3+2x^2+x+4$ and $g(x)=x^4+3x^3+4x^2+3x$

Published on 02 Apr 2018 - 11:29

156

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On the Fermat-Taylor-Wiles proof from integers to polynomials, and Langlands program

Published on 19 Mar 2026 - 16:55

2.1k

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Is $R[x]$ never a field?

Published on 02 Apr 2018 - 12:42

127

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On the kernel of the surjective ring homomorphism $R[X] \to R[ab^{-1}]$ taking $X$ to $ab^{-1}$

Published on 24 Mar 2026 - 23:49

78

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I was wondering what are some examples of G domains per kaplansky’s definition?

Published on 03 Apr 2018 - 2:46

82

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Commutative ring with unity problem

Published on 03 Apr 2018 - 4:20

142

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Proving that $D^{-1}\mathbb{Z}\cong \mathbb{Z}[x]/(px-1)$

Published on 25 Mar 2026 - 1:16

141

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How to prove $x^5 + y^7 +11$ irreducible in $\mathbb{Z}[x,y]$

Published on 25 Mar 2026 - 4:58

1.1k

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Example of non surjective ring homomorphisim where im$(\phi)$ is not an ideal

Published on 24 Mar 2026 - 23:45

111

Views

Why proper ideals are non unital sub rings

Published on 25 Mar 2026 - 19:59

List Question

Commutative ring and ideals

Why is it that if a ring is simple, its center must be a field?

Showing that a simple ring is either the set containing 0 or one of its products must be 0

Opposite rings and their corresponding rings

When is the unit group of a ring R cyclic?

Find the greatest common divisor of $f(x)=2x^3+2x^2+x+4$ and $g(x)=x^4+3x^3+4x^2+3x$

On the Fermat-Taylor-Wiles proof from integers to polynomials, and Langlands program

Is $R[x]$ never a field?

On the kernel of the surjective ring homomorphism $R[X] \to R[ab^{-1}]$ taking $X$ to $ab^{-1}$

I was wondering what are some examples of G domains per kaplansky’s definition?

Commutative ring with unity problem

Proving that $D^{-1}\mathbb{Z}\cong \mathbb{Z}[x]/(px-1)$

How to prove $x^5 + y^7 +11$ irreducible in $\mathbb{Z}[x,y]$

Example of non surjective ring homomorphisim where im$(\phi)$ is not an ideal

Why proper ideals are non unital sub rings

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