Question

The definition of Cohen-Macaulay algebra

score 45 · Answer 1 · 2026-03-25 14:33:41

45

Views

The definition of Cohen-Macaulay algebra

Published on 25 Mar 2026 - 14:33

score 66 · Answer 2 · 2026-05-10 21:28:32

66

Views

On local rings $(R, \mathfrak m)$ such that $\text{Spec}(R)$ is disjoint union of $\text{Ass}(R)$ and $ \{\mathfrak m \}$

Published on 10 May 2026 - 21:28

score 50 · Answer 3 · 2026-03-25 14:33:37

50

Views

When is a Noetherian Standard graded algebra over a field Cohen-Macaulay? Any counter-example when it is not the case?

Published on 25 Mar 2026 - 14:33

score 67 · Answer 4 · 2026-03-25 14:33:40

67

Views

Cohen-Macaulay property of graded ideals

Published on 25 Mar 2026 - 14:33

score 67 · Answer 5 · 2026-05-10 15:52:45

67

Views

When $R/I \cong S/J$, where $R$ is Cohen-Macaulay, $S$ is regular local and $ht(J)=\mu(J)$

Published on 10 May 2026 - 15:52

score 98 · Answer 6 · 2026-05-10 16:13:53

98

Views

Existence of a proper birational morphism from a Gorenstein scheme, with trivial higher direct images, implies Cohen-Macaulay?

Published on 10 May 2026 - 16:13

score 27 · Answer 7 · 2026-03-25 14:36:40

27

Views

Connection between heights of $(U:_R E)$ and $(ann(E):_R ann(U))$ for torsion-free modules $U\subseteq E$ of constant rank

Published on 25 Mar 2026 - 14:36

score 144 · Answer 8 · 2026-03-25 12:29:22

144

Views

If a resolution $f:Y\to X$ satisfies $R^if_\omega_Y=0$ and $R^if_\mathcal{O}_Y=0$ for all $i>0$, then do we have $f_*\omega_Y=\omega_X$?

Published on 25 Mar 2026 - 12:29

score 58 · Answer 9 · 2026-03-25 14:30:00

58

Views

Non-toric ring which is Cohen-Macaulay

Published on 25 Mar 2026 - 14:30

score 88 · Answer 10 · 2026-03-25 14:30:00

88

Views

Example of noetherian local ring without Maximal Cohen-Macaulay modules.

Published on 25 Mar 2026 - 14:30

score 82 · Answer 11 · 2026-05-11 00:15:26

82

Views

Serre conditions and local isomorphisms

Published on 11 May 2026 - 0:15

score 74 · Answer 12 · 2026-03-25 14:06:24

74

Views

Embedding of modules of finite length

Published on 25 Mar 2026 - 14:06

score 56 · Answer 13 · 2026-03-25 14:31:42

56

Views

Homomorphisms between regular local rings with regular system of parameters

Published on 25 Mar 2026 - 14:31

score 80 · Answer 14 · 2026-04-14 19:40:22

80

Views

Tensor product of field with Noetherian ring is Cohen-Macaulay

Published on 14 Apr 2026 - 19:40

score 73 · Answer 15 · 2026-03-25 14:32:26

73

Views

Going mod an element which annihilates a prime ideal (Associated primes)

Published on 25 Mar 2026 - 14:32

List Question

The definition of Cohen-Macaulay algebra

On local rings $(R, \mathfrak m)$ such that $\text{Spec}(R)$ is disjoint union of $\text{Ass}(R)$ and $ \{\mathfrak m \}$

When is a Noetherian Standard graded algebra over a field Cohen-Macaulay? Any counter-example when it is not the case?

Cohen-Macaulay property of graded ideals

When $R/I \cong S/J$, where $R$ is Cohen-Macaulay, $S$ is regular local and $ht(J)=\mu(J)$

Existence of a proper birational morphism from a Gorenstein scheme, with trivial higher direct images, implies Cohen-Macaulay?

Connection between heights of $(U:_R E)$ and $(ann(E):_R ann(U))$ for torsion-free modules $U\subseteq E$ of constant rank

If a resolution $f:Y\to X$ satisfies $R^if_\omega_Y=0$ and $R^if_\mathcal{O}_Y=0$ for all $i>0$, then do we have $f_*\omega_Y=\omega_X$?

Non-toric ring which is Cohen-Macaulay

Example of noetherian local ring without Maximal Cohen-Macaulay modules.

Serre conditions and local isomorphisms

Embedding of modules of finite length

Homomorphisms between regular local rings with regular system of parameters

Tensor product of field with Noetherian ring is Cohen-Macaulay

Going mod an element which annihilates a prime ideal (Associated primes)

Trending Questions

Popular # Hahtags

Popular Questions