List questions from ring-theory

Published on 25 Mar 2026 - 6:00

43

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Show ab is also a unit

Published on 17 Jul 2018 - 21:49

47

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Integral domain $0$ element

Published on 25 Mar 2026 - 2:57

410

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show the ring is an integral domain

Published on 25 Mar 2026 - 4:38

238

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For a ring $R$, if $ab=ca$ implies $b=c$, show $R$ is commutative

Published on 18 Jul 2018 - 5:41

170

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Ring with additive group isomorphic to group of units

Published on 18 Jul 2018 - 8:18

61

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if $p(x)$ is irreducible show $cp(x)$ also is irreducible

Published on 25 Mar 2026 - 14:34

2.8k

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Homomorphic images of $\mathbb{Z}$

Published on 19 Jul 2018 - 4:25

21

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How to define a ring $R$ and two non-zero polynomials $a(x), b(x) \in R[x]$

Published on 19 Jul 2018 - 7:45

155

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Is pullback of non-commutative rings well defined?

Published on 22 Feb 2026 - 23:26

32

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Show that $\text{End}_R(R_R, R_R) = R$ as rings.

Published on 28 Mar 2026 - 1:07

286

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If D is integral domain, then $b_m$ is unit

Published on 25 Mar 2026 - 3:01

697

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Another version of the Chinese Remainder Theorem

Published on 25 Mar 2026 - 18:47

36

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Property of quotient ideals in a number Field

Published on 29 Mar 2026 - 3:27

100

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Cardinality of $GL_n(Z_{p^{m}})$

Published on 27 Mar 2026 - 12:08

List Question

Constructing an integral domain with a specific subring

Show ab is also a unit

Integral domain $0$ element

show the ring is an integral domain

For a ring $R$, if $ab=ca$ implies $b=c$, show $R$ is commutative

Ring with additive group isomorphic to group of units

if $p(x)$ is irreducible show $cp(x)$ also is irreducible

Homomorphic images of $\mathbb{Z}$

How to define a ring $R$ and two non-zero polynomials $a(x), b(x) \in R[x]$

Is pullback of non-commutative rings well defined?

Show that $\text{End}_R(R_R, R_R) = R$ as rings.

If D is integral domain, then $b_m$ is unit

Another version of the Chinese Remainder Theorem

Property of quotient ideals in a number Field

Cardinality of $GL_n(Z_{p^{m}})$

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