List questions from local-rings

Published on 18 Mar 2026 - 1:22

411

Views

Integral extension of a local ring is semilocal

Published on 23 Mar 2026 - 1:52

60

Views

Showing some element is a zero divisor

Published on 10 Nov 2018 - 14:32

59

Views

Adjoining an element with given minimal polynomial to a DVR of characteristic p.

Published on 29 Nov 2018 - 5:49

229

Views

Commutative local ring with $10$ ideals

Published on 22 Mar 2026 - 8:21

375

Views

When is a map of local rings finite?

Published on 04 Jan 2019 - 10:28

2.4k

Views

Quotient ring local if Ring is local

Published on 05 Jan 2019 - 21:10

45

Views

Existence of ideal in Cohen-Macaulay ring, going modulo which still gives Cohen-Macaulay

Published on 16 Mar 2026 - 20:22

206

Views

Exercise 4.4.1 in Weibel's 'An Introduction to Homological Algebra'.

Published on 20 Mar 2026 - 9:05

67

Views

Theorem on Injective Dimension in Weibel's "An Introduction to Homological Algebra"

Published on 01 Feb 2019 - 11:24

102

Views

Every finite integral extension of a Henselian, pseudo-geometric and analytically normal ring is algebraically closed in its completion.

Published on 24 Mar 2026 - 22:07

408

Views

Is the ring $\mathbb{Z}_{p^n}$ local?

Published on 04 Feb 2019 - 9:35

698

Views

The residue field of valuations are finite extension

Published on 12 Feb 2019 - 20:48

104

Views

Consequence of local duality

Published on 13 Feb 2019 - 11:28

123

Views

Completion of the local ring at a point on arithmetic surfaces.

Published on 17 Feb 2019 - 15:52

List Question

Divided power algebra is artinian as a module over the polynomial ring

Integral extension of a local ring is semilocal

Showing some element is a zero divisor

Adjoining an element with given minimal polynomial to a DVR of characteristic p.

Commutative local ring with $10$ ideals

When is a map of local rings finite?

Quotient ring local if Ring is local

Existence of ideal in Cohen-Macaulay ring, going modulo which still gives Cohen-Macaulay

Exercise 4.4.1 in Weibel's 'An Introduction to Homological Algebra'.

Theorem on Injective Dimension in Weibel's "An Introduction to Homological Algebra"

Every finite integral extension of a Henselian, pseudo-geometric and analytically normal ring is algebraically closed in its completion.

Is the ring $\mathbb{Z}_{p^n}$ local?

The residue field of valuations are finite extension

Consequence of local duality

Completion of the local ring at a point on arithmetic surfaces.

Trending Questions

Popular # Hahtags

Popular Questions