There is a known example due to Bergman (goes back to 1963) of a ring which is left primitive but not right primitive. I am wondering if there is another (preferably simpler) example of such a ring!?
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
1
see page 159 of Ring Theory, volume 1, by L.H. Rowen.
answered Oct 14, 2013 at 20:38
-
$\begingroup$ In the following works R. S. Irving, On the primitivity of certain Ore extensions (1979) link.springer.com/article/10.1007%2FBF01420415 and M. J. Crabb, J. Duncan and C. M. McGregor, On one-sided primitivity of Banach algebras (2010) dx.doi.org/10.1017/S0013091508000783 alternative/simpler examples are provided. $\endgroup$– NameCommented Oct 15, 2013 at 8:08