Question

Why if Ring and Subring are both integral domain, their unity elements are equal?

score 443 · Answer 1 · 2026-04-14 18:44:19

443

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Why if Ring and Subring are both integral domain, their unity elements are equal?

Published on 14 Apr 2026 - 18:44

score 95 · Answer 2 · 2026-04-13 15:55:47

95

Views

Basic Theorem about prime ideal

Published on 13 Apr 2026 - 15:55

score 149 · Answer 3 · 2026-04-12 06:23:07

149

Views

Monic irreducible reversible polynomial

Published on 12 Apr 2026 - 6:23

score 161 · Answer 4 · 2026-04-12 05:29:08

161

Views

Are the two definitions of a perfect ring in Wikipedia related?

Published on 12 Apr 2026 - 5:29

score 96 · Answer 5 · 2026-04-17 06:16:24

96

Views

Prove that : $\gcd ( a.P(X) + b.Q(X), cP(X) + dQ(X) ) = \gcd ( P(X), Q(X) )$

Published on 17 Apr 2026 - 6:16

score 281 · Answer 6 · 2026-03-26 07:59:12

281

Views

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

Published on 26 Mar 2026 - 7:59

score 302 · Answer 7 · 2026-04-16 08:09:15

302

Views

Dummit and Foote, question about ex. 7.28(d). Is my alternative proof correct?

Published on 16 Apr 2026 - 8:09

score 626 · Answer 8 · 2026-04-15 07:28:45

626

Views

If $M$ finitely generated as an $R$-module, is $M$ is finitely generated as an $S$-module, and $S$ is finitely generated as an $R$-module?

Published on 15 Apr 2026 - 7:28

score 164 · Answer 9 · 2026-04-12 08:42:04

164

Views

Composition of finitely presented ring morphisms.

Published on 12 Apr 2026 - 8:42

score 122 · Answer 10 · 2026-04-15 12:51:55

122

Views

How to determine all finitely generated subrings of $\mathbb Q$

Published on 15 Apr 2026 - 12:51

score 148 · Answer 11 · 2026-03-25 17:35:26

148

Views

If endomorphisms embed, does the vector space itself embed?

Published on 25 Mar 2026 - 17:35

score 29 · Answer 12 · 2026-03-25 19:07:07

29

Views

Show $f$: $Z_{mn}\mapsto Z_{m}$ $\times$ $Z_{n}$ by the rule $f(x\pmod{mn}) = (x\pmod{m}, x\pmod{n})$ is a homomorphism.

Published on 25 Mar 2026 - 19:07

score 97 · Answer 13 · 2026-04-14 13:34:32

97

Views

Proposition 1.15 of Atiyah-MacDonald

Published on 14 Apr 2026 - 13:34

score 35 · Answer 14 · 2026-04-16 17:55:00

35

Views

Irreducible polynomial clarification

Published on 16 Apr 2026 - 17:55

score 29 · Answer 15 · 2026-04-13 13:05:02

29

Views

How to show that this quotient contains no proper submodule which is a summand

Published on 13 Apr 2026 - 13:05

List Question

Why if Ring and Subring are both integral domain, their unity elements are equal?

Basic Theorem about prime ideal

Monic irreducible reversible polynomial

Are the two definitions of a perfect ring in Wikipedia related?

Prove that : $\gcd ( a.P(X) + b.Q(X), cP(X) + dQ(X) ) = \gcd ( P(X), Q(X) )$

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

Dummit and Foote, question about ex. 7.28(d). Is my alternative proof correct?

If $M$ finitely generated as an $R$-module, is $M$ is finitely generated as an $S$-module, and $S$ is finitely generated as an $R$-module?

Composition of finitely presented ring morphisms.

How to determine all finitely generated subrings of $\mathbb Q$

If endomorphisms embed, does the vector space itself embed?

Show $f$: $Z_{mn}\mapsto Z_{m}$ $\times$ $Z_{n}$ by the rule $f(x\pmod{mn}) = (x\pmod{m}, x\pmod{n})$ is a homomorphism.

Proposition 1.15 of Atiyah-MacDonald

Irreducible polynomial clarification

How to show that this quotient contains no proper submodule which is a summand

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