List questions from flatness

Published on 24 Apr 2021 - 17:20

144

Views

Commutativity of a diagram involving extension of scalars

Published on 25 Apr 2021 - 9:42

111

Views

Flat extension of local domains

Published on 25 Mar 2026 - 11:01

253

Views

Hartshorne's Algebraic Geometry, Ex 9.5 (a) in Chapter III construct a flat family $X_t$ such that it's cone is not flat

Published on 01 May 2021 - 10:18

173

Views

Why the image of any $A$-regular sequence under $f$ is a $B$-regular sequence, $f: A \to B$ is flat.

Published on 25 Mar 2026 - 11:06

184

Views

prop 2.19 (ii)=>(i) of Atiyah Macdonald

Published on 14 May 2021 - 12:59

839

Views

Is $M$ is a flat module over a Noetherian local ring, then it's free

Published on 16 May 2021 - 9:39

101

Views

Exercise 2.27 Atiyah, Macdonald iii) implies i)

Published on 16 Jun 2021 - 1:40

143

Views

Characterising Flat Modules - Lazard's theorem

Published on 23 Jun 2021 - 11:16

118

Views

If every homomorphism from finitely presented module factors through free module, then $E$ is direct limit of finite free modules

Published on 24 Jun 2021 - 12:30

124

Views

Equivalent definitions of flat morphism

Published on 22 Mar 2026 - 5:07

305

Views

Slicing criterion for flatness in the source (Vakil 24.6.F)

Published on 02 Jul 2021 - 16:43

88

Views

If $R/\mathfrak{a}$ is flat, then $\mathfrak{a}=\mathfrak{a}^2$

Published on 04 Jul 2021 - 15:21

366

Views

Is $\mathbb Z _p$ flat $\mathbb Z$-module?

Published on 04 Jul 2021 - 18:03

102

Views

Intersection of finite free modules over Noetherian domains

Published on 13 Jul 2021 - 6:25

List Question

A non-flat functor that reflects exact sequences

Commutativity of a diagram involving extension of scalars

Flat extension of local domains

Hartshorne's Algebraic Geometry, Ex 9.5 (a) in Chapter III construct a flat family $X_t$ such that it's cone is not flat

Why the image of any $A$-regular sequence under $f$ is a $B$-regular sequence, $f: A \to B$ is flat.

prop 2.19 (ii)=>(i) of Atiyah Macdonald

Is $M$ is a flat module over a Noetherian local ring, then it's free

Exercise 2.27 Atiyah, Macdonald iii) implies i)

Characterising Flat Modules - Lazard's theorem

If every homomorphism from finitely presented module factors through free module, then $E$ is direct limit of finite free modules

Equivalent definitions of flat morphism

Slicing criterion for flatness in the source (Vakil 24.6.F)

If $R/\mathfrak{a}$ is flat, then $\mathfrak{a}=\mathfrak{a}^2$

Is $\mathbb Z _p$ flat $\mathbb Z$-module?

Intersection of finite free modules over Noetherian domains

Trending Questions

Popular # Hahtags

Popular Questions