Question

Problem about ring and integral domain

score 160 · Answer 1 · 2026-04-11 01:03:52

160

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Problem about ring and integral domain

Published on 11 Apr 2026 - 1:03

score 303 · Answer 2 · 2026-04-16 07:03:43

303

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If R and S are artinian and finite dimensional algebras respectively, then the tensor product of them is artinian.

Published on 16 Apr 2026 - 7:03

score 214 · Answer 3 · 2026-04-15 02:36:39

214

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Irredundant intersection of submodules

Published on 15 Apr 2026 - 2:36

score 252 · Answer 4 · 2026-04-15 02:09:06

252

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Morita equivalence: Is $_{\mathrm{End}_R(P)}P$ projective if $P_R$ is?

Published on 15 Apr 2026 - 2:09

score 1k · Answer 5 · 2026-04-15 12:42:07

1k

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Difference of a ring and its module over itself

Published on 15 Apr 2026 - 12:42

score 505 · Answer 6 · 2026-04-13 05:58:33

505

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prime ideal in a subring

Published on 13 Apr 2026 - 5:58

score 240 · Answer 7 · 2026-04-15 19:16:17

240

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Grade of an ideal equal to that of all its associated primes?

Published on 15 Apr 2026 - 19:16

score 6.9k · Answer 8 · 2026-04-14 07:15:10

6.9k

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Why are groups "abelian" but rings "commutative"?

Published on 14 Apr 2026 - 7:15

score 1.1k · Answer 9 · 2026-04-15 05:57:54

1.1k

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All homomorphisms from a simple ring to a non-zero ring are injective

Published on 15 Apr 2026 - 5:57

score 327 · Answer 10 · 2026-04-12 02:20:54

327

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Sufficient conditions for quotient ring to be Cohen-Macaulay

Published on 12 Apr 2026 - 2:20

score 1.4k · Answer 11 · 2026-04-15 02:58:36

1.4k

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Do $IJ$ and $I\cap J$ coincide if $I$ and $J$ are coprime? Also if ring $R$ has a $1$ and is not commutative?

Published on 15 Apr 2026 - 2:58

score 187 · Answer 12 · 2026-04-12 21:39:05

187

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Let $f: R_1 \rightarrow R_2$ be a ring homomorphism. Does $r \in R_1$ being non-invertible mean $f(r)$ is non-invertible?

Published on 12 Apr 2026 - 21:39

score 354 · Answer 13 · 2026-04-12 03:12:05

354

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understanding roots of polynomials in field extensions

Published on 12 Apr 2026 - 3:12

score 147 · Answer 14 · 2026-04-14 23:10:59

147

Views

Showing isomorphism between quotient rings

Published on 14 Apr 2026 - 23:10

score 1.5k · Answer 15 · 2026-04-11 12:09:16

1.5k

Views

Tensor product of the spaces of quaternions and complex numbers

Published on 11 Apr 2026 - 12:09

List Question

Problem about ring and integral domain

If R and S are artinian and finite dimensional algebras respectively, then the tensor product of them is artinian.

Irredundant intersection of submodules

Morita equivalence: Is $_{\mathrm{End}_R(P)}P$ projective if $P_R$ is?

Difference of a ring and its module over itself

prime ideal in a subring

Grade of an ideal equal to that of all its associated primes?

Why are groups "abelian" but rings "commutative"?

All homomorphisms from a simple ring to a non-zero ring are injective

Sufficient conditions for quotient ring to be Cohen-Macaulay

Do $IJ$ and $I\cap J$ coincide if $I$ and $J$ are coprime? Also if ring $R$ has a $1$ and is not commutative?

Let $f: R_1 \rightarrow R_2$ be a ring homomorphism. Does $r \in R_1$ being non-invertible mean $f(r)$ is non-invertible?

understanding roots of polynomials in field extensions

Showing isomorphism between quotient rings

Tensor product of the spaces of quaternions and complex numbers

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