Timeline for A canonical representative in Morita equivalence class

6 events

when toggle format	what		by	license	comment
Dec 10, 2015 at 17:20	comment	added	Benjamin Steinberg		If it exists, then it is unique since such an algebra must be basic and there is a unique basic algebra in each Morita class.
Dec 10, 2015 at 17:20	vote	accept	Ehud Meir
Dec 10, 2015 at 17:19	comment	added	Benjamin Steinberg		If $K$ is $\mathbb Q$ and $A$ is the quaternion division algebra over $\mathbb Q$, then $A$ is already basic and has trivial Jacobson radical. No algebra Morita equivalent to $A$ has quotient by is radical commutative because all such are semisimple and $A$ is not Morita equivalent to a commutative algebra..
Dec 10, 2015 at 17:09	history	edited	Ehud Meir	CC BY-SA 3.0	added 54 characters in body
Dec 10, 2015 at 17:03	answer	added	Theo Johnson-Freyd		timeline score: 4
Dec 10, 2015 at 16:11	history	asked	Ehud Meir	CC BY-SA 3.0