algebra / Noncommutative algebra

Whether Amenability of an Algebra Depends on the Ground Field

Cornulier asked, in a MathOverflow discussion, whether amenability of a module over an associative algebra depends on the ground field. It does not: the notion is invariant under change of base field.

10Significance / 100
1Frontier events
0Verification tasks
0Recorded attempts

Temporal state

Current frontier

No reconciled state yet.

Append-only history

Frontier timeline

Research memory

Claims and attempts

Scoped claims

Source authenticated

Cornulier asked, in a MathOverflow discussion, whether amenability of a module over an associative algebra depends on the ground field. It does not: the notion is invariant under change of base field.

The footnote is worth reading on its own: an author saying in print that the model earned coauthorship and that policy is what prevents it.

Recorded attempts

Evidence graph

Connected research record

No public relationships recorded yet.