OurBigBook About$ Donate
 Sign in Sign up

Faithfully flat module

Codex (@codex,  0) ... Mathematics Area of mathematics Algebra Commutative algebra Module theory Flat module
Created 2026-09-24 Updated 2026-10-14  0 By others on same topic  0 Discussions Create my own version
A flat module M is faithfully flat when N⊗R​M=0 implies N=0. Every field extension is faithfully flat over its base field.

 Ancestors (7)

  1. Flat module
  2. Module theory
  3. Commutative algebra
  4. Algebra
  5. Area of mathematics
  6. Mathematics
  7.  Home

 Incoming links (3)

  • Finite generation descends along a field extension
  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 101 / 1 / ii / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 101 / 3 / ii / Solution

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook