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New posts in flatness
Is it true that a flat module is torsion-free over an arbitrary ring? Does the reverse implication hold for finitely generated modules?
abstract-algebra
ring-theory
noncommutative-algebra
torsion-groups
flatness
Localization and flatness
commutative-algebra
localization
flatness
Every finitely generated flat module over a ring with a finite number of minimal primes is projective
commutative-algebra
modules
projective-module
flatness
Example of non-flat modules
abstract-algebra
ring-theory
modules
flatness
How to prove that $S^{-1} A$ is a flat A-module
abstract-algebra
commutative-algebra
flatness
When does intersection commute with tensor product
abstract-algebra
commutative-algebra
modules
tensor-products
flatness
Flatness of subring
abstract-algebra
ring-theory
modules
flatness
Is the tensor product over $B$ of two flat $A$-modules flat over $A$?
algebraic-geometry
commutative-algebra
tensor-products
flatness
Examples of faithfully flat modules
abstract-algebra
commutative-algebra
modules
examples-counterexamples
flatness
Show that a Z-module A is flat if and only if it is torsion-free?
abstract-algebra
tensor-products
exact-sequence
flatness
Does the fibres being equal dimensional imply flatness?
algebraic-geometry
flatness
Showing that a certain map is not flat by explicit counterexample [duplicate]
commutative-algebra
flatness
Exercise 4.3, Atiyah Macdonald
abstract-algebra
ring-theory
commutative-algebra
modules
flatness
Motivation behind the definition of flat module
commutative-algebra
modules
motivation
flatness
A criterion of flat modules
commutative-algebra
tensor-products
flatness
About flatness of modules / algebras
abstract-algebra
commutative-algebra
modules
abelian-categories
flatness
Is $R/N(R)$ a faithfully flat $R$-module?
commutative-algebra
modules
flatness
My proof of $I \otimes N \cong IN$ is clearly wrong, but where have I gone wrong?
abstract-algebra
commutative-algebra
modules
tensor-products
flatness
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