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Oct 7, 2015 at 18:36 comment added Yemon Choi @AliTaghavi I think we can do this, and I have updated my answer to give a reasonably complete sketch.
Oct 7, 2015 at 17:14 history edited Yemon Choi CC BY-SA 3.0
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Oct 6, 2015 at 19:54 vote accept Ali Taghavi
Oct 6, 2015 at 15:01 comment added Ali Taghavi thanks again for the answer. Can one construct an alternative example : a commutative infinite dim A and a B with trivial center with morphisms $\alpha:A\to B$ and $\beta:B \to A$ such that $\beta \circ \alpha$ is an automorphism?
Sep 30, 2015 at 22:03 history answered Yemon Choi CC BY-SA 3.0