Timeline for Isomorphism of matrix ring over ore domain
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 26, 2014 at 17:01 | history | edited | David E Speyer | CC BY-SA 3.0 |
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| Jul 22, 2014 at 15:48 | vote | accept | rrr | ||
| Jul 22, 2014 at 15:48 | comment | added | rrr | Many Thanks. It is exactly what i want. | |
| Jul 22, 2014 at 9:04 | comment | added | Simon Wadsley | That the maximal right ring of quotients of $Mat_n(R)$ is $Mat_n(q.f(R))$ (in your notation) follows immediately from Corollary 3.1.6 of McConnell and Robson's book `Noncommutative Noetherian rings': ams.org/bookstore-getitem/item=GSM-30 | |
| Jul 22, 2014 at 5:00 | comment | added | rrr | Thanks a lot. in fact i more like a reference for such result. q.f.(R) is the skew field of fraactions. Since the isomorphisms of matrix rings over division rings will imply the isomorphisms of division rings. I wonder whether we can find somewhere that the maximal right ring of quotient of $Mat_n(R)$ is $Mat_n(q.f.(R))$? | |
| Jul 21, 2014 at 19:43 | history | answered | David E Speyer | CC BY-SA 3.0 |