List questions from commutative-algebra

Published on 26 Mar 2026 - 1:00

85

Views

Affine $k$-domain of dimension$1$ can always be embedded in a polynomial ring?

Published on 27 Mar 2026 - 20:14

471

Views

Proof explanation: Every module is the quotient of free module

Published on 25 Mar 2026 - 11:53

84

Views

Why can't we use different approach on the last problem of Exercise 2.11 of Atiyah-Macdonal?

Published on 08 Apr 2026 - 2:39

57

Views

Map between localizations induces map on underlying modules for Zariski covering

Published on 15 May 2019 - 0:48

142

Views

On Hopfian modules over commutative Noetherian rings

Published on 02 Apr 2026 - 14:35

30

Views

Free resolutions in $\mathbb{R}[x,y,z]$ of ideals generated by 4 elements

Published on 15 May 2019 - 7:53

217

Views

Map induced on fraction fields is finite

Published on 31 Mar 2026 - 20:25

47

Views

Are the normalizations of $k[X,Y] / (Y^3 - X^5)$ and $k[X,Y] / (Y^5 - X^{19})$ just $k[y/x]$?

Published on 08 Apr 2026 - 4:31

106

Views

Reduced and integral rings

Published on 08 Apr 2026 - 4:30

294

Views

Elements of the spectrum of complex numbers

Published on 29 Mar 2026 - 15:15

66

Views

Torsion-less module over commutative ring whose injective hull is Hopfian

Published on 25 Mar 2026 - 9:24

64

Views

How does Matlis duality behave w.r.t. Hopfian and Co-hopfian modules?

Published on 25 Mar 2026 - 4:41

389

Views

Finitely generated projective resolution of a module over a regular local ring

Published on 01 Apr 2026 - 9:40

93

Views

Given a split exact sequence $0 \to N \to M \to M \to 0$, when can we say $N=0$?

Published on 26 Mar 2026 - 1:34

List Question

Proof about length of quotient modules

Affine $k$-domain of dimension$1$ can always be embedded in a polynomial ring?

Proof explanation: Every module is the quotient of free module

Why can't we use different approach on the last problem of Exercise 2.11 of Atiyah-Macdonal?

Map between localizations induces map on underlying modules for Zariski covering

On Hopfian modules over commutative Noetherian rings

Free resolutions in $\mathbb{R}[x,y,z]$ of ideals generated by 4 elements

Map induced on fraction fields is finite

Are the normalizations of $k[X,Y] / (Y^3 - X^5)$ and $k[X,Y] / (Y^5 - X^{19})$ just $k[y/x]$?

Reduced and integral rings

Elements of the spectrum of complex numbers

Torsion-less module over commutative ring whose injective hull is Hopfian

How does Matlis duality behave w.r.t. Hopfian and Co-hopfian modules?

Finitely generated projective resolution of a module over a regular local ring

Given a split exact sequence $0 \to N \to M \to M \to 0$, when can we say $N=0$?

Trending Questions

Popular # Hahtags

Popular Questions