Question

How can this graph of the relationships among types of commutative rings be improved?

score 280 · Answer 1 · 2020-05-03 12:16:27

280

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How can this graph of the relationships among types of commutative rings be improved?

Published on 03 May 2020 - 12:16

score 88 · Answer 2 · 2020-05-10 10:14:05

88

Views

Double integral dosen't give same result using Fubini Theorem

Published on 10 May 2020 - 10:14

score 66 · Answer 3 · 2020-05-10 16:48:40

66

Views

Find domain of an integral with variable bounds

Published on 10 May 2020 - 16:48

score 191 · Answer 4 · 2020-05-16 16:05:34

191

Views

Units and Zero Divisors in different Rings

Published on 16 May 2020 - 16:05

score 351 · Answer 5 · 2026-03-25 20:32:47

351

Views

extending ring homomorphism into fields

Published on 25 Mar 2026 - 20:32

score 175 · Answer 6 · 2020-06-06 10:23:55

175

Views

Is an integral domain $\frac{\mathbb{C}[x,y]}{<x^4+x^3y+y^4>}$?

Published on 06 Jun 2020 - 10:23

score 137 · Answer 7 · 2020-06-09 11:08:08

137

Views

Method to generate counterexample: An irreducible that is not prime.

Published on 09 Jun 2020 - 11:08

score 126 · Answer 8 · 2026-03-26 00:53:48

126

Views

A non-unit which is neither irreducible, nor a product of irreducibles.

Published on 26 Mar 2026 - 0:53

score 58 · Answer 9 · 2020-06-24 15:43:02

58

Views

Finding integral domains.

Published on 24 Jun 2020 - 15:43

score 318 · Answer 10 · 2020-06-28 07:16:12

318

Views

If a subring $S$ of $R=M_2(\Bbb Q)$ is an integral domain and contains the center of $R$ then $S$ must be a field

Published on 28 Jun 2020 - 7:16

score 69 · Answer 11 · 2026-03-26 00:54:02

69

Views

If $R$ is an integral domain and $a/b\in \operatorname{Frac}(R)$. Is $R[a/b]$ a UFD?

Published on 26 Mar 2026 - 0:54

score 41 · Answer 12 · 2026-03-25 23:11:02

41

Views

An Ideal Related to a Polynomial Ring: Theorem 3.4 of Chapter XXI of Lang's "Algebra" (Revised Third Edition)

Published on 25 Mar 2026 - 23:11

score 173 · Answer 13 · 2020-07-20 00:35:32

173

Views

For integral domains $R$ and $S$, if $S \simeq R^n$ as $R$-modules, does $\mathrm{Quot}(S) / \mathrm{Quot}(R)$ have degree $n$?

Published on 20 Jul 2020 - 0:35

score 128 · Answer 14 · 2020-07-30 22:39:18

128

Views

For this broad definition of Euclidean domain, is there a non-trivial example with finite set of norms?

Published on 30 Jul 2020 - 22:39

score 525 · Answer 15 · 2016-07-17 14:53:02

525

Views

Units in Euclidean domains

Published on 17 Jul 2016 - 14:53

List Question

How can this graph of the relationships among types of commutative rings be improved?

Double integral dosen't give same result using Fubini Theorem

Find domain of an integral with variable bounds

Units and Zero Divisors in different Rings

extending ring homomorphism into fields

Is an integral domain $\frac{\mathbb{C}[x,y]}{<x^4+x^3y+y^4>}$?

Method to generate counterexample: An irreducible that is not prime.

A non-unit which is neither irreducible, nor a product of irreducibles.

Finding integral domains.

If a subring $S$ of $R=M_2(\Bbb Q)$ is an integral domain and contains the center of $R$ then $S$ must be a field

If $R$ is an integral domain and $a/b\in \operatorname{Frac}(R)$. Is $R[a/b]$ a UFD?

An Ideal Related to a Polynomial Ring: Theorem 3.4 of Chapter XXI of Lang's "Algebra" (Revised Third Edition)

For integral domains $R$ and $S$, if $S \simeq R^n$ as $R$-modules, does $\mathrm{Quot}(S) / \mathrm{Quot}(R)$ have degree $n$?

For this broad definition of Euclidean domain, is there a non-trivial example with finite set of norms?

Units in Euclidean domains

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