Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

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!?

share|improve this question

1 Answer 1

see page 159 of Ring Theory, volume 1, by L.H. Rowen.

share|improve this answer
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. –  Name Oct 15 '13 at 8:08

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.