List questions from modules

Published on 29 Mar 2026 - 12:41

591

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Isomorphisms define an equivalence relation between modules

Published on 23 Mar 2019 - 10:22

64

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Factor of a product ring can not be free

Published on 25 Mar 2026 - 10:21

713

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Left and right adjoints of restriction in modules.

Published on 25 Mar 2026 - 8:07

28

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Prove that $O_a$ is an ideal of $R$

Published on 24 Mar 2019 - 9:37

122

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Exact sequence proof

Published on 24 Mar 2019 - 14:59

43

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what is the cokernel of this map? $ a\in R, \ \ f_a:M\rightarrow M \ \ f_a(m)=a\cdot m$

Published on 24 Mar 2019 - 20:37

71

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What is meant by $\operatorname{Tor}(P,K)$ for $P$ a left $R$-module?

Published on 25 Mar 2026 - 4:41

370

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How to prove simple associative algebra over C is isomorphic to matrix algebra M_n(C)?

Published on 25 Mar 2026 - 1:28

70

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Let $R$ be a ring with unity and $I$ be a proper ideal of $R$, prove that $y-ra\in I$ for all $r\in R$.

Published on 25 Mar 2019 - 11:23

211

Views

Centralizer of certain matrices

Published on 28 Mar 2026 - 12:31

29

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Module construction

Published on 25 Mar 2019 - 23:04

401

Views

Relation between Jordan normal form and cyclic module decomposition

Published on 28 Mar 2026 - 9:34

48

Views

Cokernel of Multiple Matrices

Published on 26 Mar 2019 - 7:11

57

Views

Does every covariant functor on module category preserve inclusion?

Published on 25 Mar 2026 - 11:53

List Question

Quotient of a quotient.

Isomorphisms define an equivalence relation between modules

Factor of a product ring can not be free

Left and right adjoints of restriction in modules.

Prove that $O_a$ is an ideal of $R$

Exact sequence proof

what is the cokernel of this map? $ a\in R, \ \ f_a:M\rightarrow M \ \ f_a(m)=a\cdot m$

What is meant by $\operatorname{Tor}(P,K)$ for $P$ a left $R$-module?

How to prove simple associative algebra over C is isomorphic to matrix algebra M_n(C)?

Let $R$ be a ring with unity and $I$ be a proper ideal of $R$, prove that $y-ra\in I$ for all $r\in R$.

Centralizer of certain matrices

Module construction

Relation between Jordan normal form and cyclic module decomposition

Cokernel of Multiple Matrices

Does every covariant functor on module category preserve inclusion?

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