Question

Based on the following relations, calculate the abelian group with generators $x, y, z$ and $t$.

score 283 · Answer 1 · 2026-03-27 13:25:22

283

Views

Based on the following relations, calculate the abelian group with generators $x, y, z$ and $t$.

Published on 27 Mar 2026 - 13:25

score 278 · Answer 2 · 2019-08-06 06:19:50

278

Views

Differences in tensor products under change of ring

Published on 06 Aug 2019 - 6:19

score 160 · Answer 3 · 2026-03-27 07:48:19

160

Views

Localization and depth; Can anyone help me to solve below exercise?

Published on 27 Mar 2026 - 7:48

score 485 · Answer 4 · 2026-03-25 13:33:18

485

Views

Decomposition of an abelian group subject to certain relations

Published on 25 Mar 2026 - 13:33

score 481 · Answer 5 · 2026-04-01 20:49:23

481

Views

Any two minimal free resolutions of an R-module are isomorphic

Published on 01 Apr 2026 - 20:49

score 252 · Answer 6 · 2019-08-07 02:58:44

252

Views

Proving $M = 0 \iff aM = M$ if $a \in R$ is nilpotent and $M$ is an $R$-module for commutative $R$

Published on 07 Aug 2019 - 2:58

score 64 · Answer 7 · 2019-08-07 14:08:44

64

Views

What is the length of a semisimple module, if defined?

Published on 07 Aug 2019 - 14:08

score 337 · Answer 8 · 2026-03-25 15:58:55

337

Views

Must 2 Tensor Product Functors be Naturally Isomorphic?

Published on 25 Mar 2026 - 15:58

score 184 · Answer 9 · 2019-08-08 04:28:46

184

Views

What is the correct definition of a matrix representing a homomorphism of left modules?

Published on 08 Aug 2019 - 4:28

score 90 · Answer 10 · 2019-08-08 22:33:26

90

Views

If $R$ is an integral domain and $M=\langle m_1, \dots, m_k \rangle$ is an $R$-module, then the rank of $M$ is less than or equal to $k$.

Published on 08 Aug 2019 - 22:33

score 217 · Answer 11 · 2026-03-27 10:10:43

217

Views

Romyar Sharifi's notes: Group and Galois Cohomology; ideal vs submodule?

Published on 27 Mar 2026 - 10:10

score 198 · Answer 12 · 2026-03-25 20:20:19

198

Views

Commutativity of endomorphism rings of direct sums

Published on 25 Mar 2026 - 20:20

score 119 · Answer 13 · 2019-08-09 17:09:57

119

Views

Prove that the rings $K[[x]]/(x^n)$ are artinian for every $n\geq 1$.

Published on 09 Aug 2019 - 17:09

score 492 · Answer 14 · 2019-08-09 18:35:01

492

Views

Tensor product of modules and algebras

Published on 09 Aug 2019 - 18:35

score 95 · Answer 15 · 2026-03-27 17:57:02

95

Views

Questions related to a map tensored with $\mathbb R$

Published on 27 Mar 2026 - 17:57

List Question

Based on the following relations, calculate the abelian group with generators $x, y, z$ and $t$.

Differences in tensor products under change of ring

Localization and depth; Can anyone help me to solve below exercise?

Decomposition of an abelian group subject to certain relations

Any two minimal free resolutions of an R-module are isomorphic

Proving $M = 0 \iff aM = M$ if $a \in R$ is nilpotent and $M$ is an $R$-module for commutative $R$

What is the length of a semisimple module, if defined?

Must 2 Tensor Product Functors be Naturally Isomorphic?

What is the correct definition of a matrix representing a homomorphism of left modules?

If $R$ is an integral domain and $M=\langle m_1, \dots, m_k \rangle$ is an $R$-module, then the rank of $M$ is less than or equal to $k$.

Romyar Sharifi's notes: Group and Galois Cohomology; ideal vs submodule?

Commutativity of endomorphism rings of direct sums

Prove that the rings $K[[x]]/(x^n)$ are artinian for every $n\geq 1$.

Tensor product of modules and algebras

Questions related to a map tensored with $\mathbb R$

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