Question

Surjective homomorfism between $M/M_1$ to $M/M_2$

score 28 · Answer 1 · 2022-10-18 02:52:48

28

Views

Surjective homomorfism between $M/M_1$ to $M/M_2$

Published on 18 Oct 2022 - 2:52

score 103 · Answer 2 · 2022-10-28 20:17:00

103

Views

If $R$-modules $M$ and $N$ are isomorphic free modules, is $M \otimes_R M$ isomorphic to $N \otimes_R N$?

Published on 28 Oct 2022 - 20:17

score 44 · Answer 3 · 2022-11-04 05:46:06

44

Views

The cardinality of the maximal linearly independent susbet of a free module over a commutative ring with the identity

Published on 04 Nov 2022 - 5:46

score 377 · Answer 4 · 2022-11-17 18:57:20

377

Views

If $M$ is a finitely generated free $R$-module, then $Hom_R(M,R)$ is a free right $R$-module of the same rank

Published on 17 Nov 2022 - 18:57

score 64 · Answer 5 · 2022-11-24 06:39:51

64

Views

$M$ projective and finitely generated implies $Hom_R(M,R)$ is projective and finitely generated

Published on 24 Nov 2022 - 6:39

score 28 · Answer 6 · 2022-11-29 18:46:45

28

Views

If a finite-rank free module is over a ring with IBN, can all linearly independent sets be extended to bases?

Published on 29 Nov 2022 - 18:46

score 35 · Answer 7 · 2022-11-29 20:08:47

35

Views

Given a free module with a well-defined finite rank, are all of its linearly independent sets finite?

Published on 29 Nov 2022 - 20:08

score 150 · Answer 8 · 2026-03-27 00:56:55

150

Views

Understanding the notion of compatible basis.

Published on 27 Mar 2026 - 0:56

score 140 · Answer 9 · 2022-12-03 12:42:53

140

Views

Free $A$-module and $I$ is a principal ideal generated by a non zero divisor

Published on 03 Dec 2022 - 12:42

score 128 · Answer 10 · 2022-12-10 11:30:56

128

Views

If a short exact sequence ends in a free module, then it admits a section

Published on 10 Dec 2022 - 11:30

score 94 · Answer 11 · 2026-03-27 06:34:54

94

Views

Questions about definition of free abelian group

Published on 27 Mar 2026 - 6:34

score 89 · Answer 12 · 2026-03-27 18:31:32

89

Views

A question about Hilbert's Syzygy Theorem

Published on 27 Mar 2026 - 18:31

score 500 · Answer 13 · 2023-01-01 15:13:07

500

Views

Any two bases of a free module have the same cardinality.

Published on 01 Jan 2023 - 15:13

score 145 · Answer 14 · 2026-03-27 21:17:34

145

Views

Injective but not surjective R-module homomorphism

Published on 27 Mar 2026 - 21:17

score 43 · Answer 15 · 2023-01-04 13:40:58

43

Views

Example where the free $R$-module $R$ does not induce a free abelian group with the same basis

Published on 04 Jan 2023 - 13:40

List Question

Surjective homomorfism between $M/M_1$ to $M/M_2$

If $R$-modules $M$ and $N$ are isomorphic free modules, is $M \otimes_R M$ isomorphic to $N \otimes_R N$?

The cardinality of the maximal linearly independent susbet of a free module over a commutative ring with the identity

If $M$ is a finitely generated free $R$-module, then $Hom_R(M,R)$ is a free right $R$-module of the same rank

$M$ projective and finitely generated implies $Hom_R(M,R)$ is projective and finitely generated

If a finite-rank free module is over a ring with IBN, can all linearly independent sets be extended to bases?

Given a free module with a well-defined finite rank, are all of its linearly independent sets finite?

Understanding the notion of compatible basis.

Free $A$-module and $I$ is a principal ideal generated by a non zero divisor

If a short exact sequence ends in a free module, then it admits a section

Questions about definition of free abelian group

A question about Hilbert's Syzygy Theorem

Any two bases of a free module have the same cardinality.

Injective but not surjective R-module homomorphism

Example where the free $R$-module $R$ does not induce a free abelian group with the same basis

Trending Questions

Popular # Hahtags

Popular Questions