List questions from flatness

Published on 18 Mar 2021 - 19:30

115

Views

Zeroth degree part of localization of a flat graded $A$-module is flat.

Published on 21 Mar 2021 - 9:01

256

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An example of a module that is not flat.

Published on 24 Mar 2021 - 5:25

113

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Is every flat ideal in a UFD principal?

Published on 25 Mar 2021 - 16:17

92

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Flatness of localizations

Published on 31 Mar 2021 - 21:51

44

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Map of flat sheaves is onto

Published on 03 Apr 2021 - 12:37

301

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When extension of a maximal ideal is maximal

Published on 07 Apr 2021 - 23:44

92

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Flatness of $R+I \subseteq S$, where $R \subseteq S$ is flat

Published on 08 Apr 2021 - 1:07

33

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Semi-continuity theorem and construction of Hilbert and Quot schemes

Published on 26 Mar 2026 - 21:26

116

Views

Flat and algebraic (non-integral) local rings extension $R \subseteq S$ with $m_RS=m_S$

Published on 13 Apr 2021 - 23:01

217

Views

Is a localization at a maximal ideal of a polynomial ring a perfect ring?

Published on 18 Apr 2021 - 23:01

229

Views

Flat morphism of local rings

Published on 25 Mar 2026 - 9:24

83

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Flat, non-faithfully flat, submodule of a faithfully flat module

Published on 21 Apr 2021 - 23:37

57

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Injectivity of mapping of an $A$-module $M$ into $M_B$, where $B$ is a flat $A$-algebra

Published on 22 Apr 2021 - 21:56

198

Views

Flatness criteria on noetherian ring

Published on 23 Apr 2021 - 8:44

List Question

Flatness of $\mathbb{Z}[i]$ over $\mathbb{Z}$

Zeroth degree part of localization of a flat graded $A$-module is flat.

An example of a module that is not flat.

Is every flat ideal in a UFD principal?

Flatness of localizations

Map of flat sheaves is onto

When extension of a maximal ideal is maximal

Flatness of $R+I \subseteq S$, where $R \subseteq S$ is flat

Semi-continuity theorem and construction of Hilbert and Quot schemes

Flat and algebraic (non-integral) local rings extension $R \subseteq S$ with $m_RS=m_S$

Is a localization at a maximal ideal of a polynomial ring a perfect ring?

Flat morphism of local rings

Flat, non-faithfully flat, submodule of a faithfully flat module

Injectivity of mapping of an $A$-module $M$ into $M_B$, where $B$ is a flat $A$-algebra

Flatness criteria on noetherian ring

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