Timeline for A Property of Finite Rings
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 22, 2013 at 18:36 | vote | accept | CommunityBot | ||
| Dec 30, 2012 at 7:21 | vote | accept | CommunityBot | ||
| Apr 22, 2013 at 18:36 | |||||
| Dec 30, 2012 at 7:21 | vote | accept | CommunityBot | ||
| Dec 30, 2012 at 7:21 | |||||
| Dec 30, 2012 at 6:59 | comment | added | user30230 | @David White: The problem is not true even for Artinian rings. K. Asano has constructed an Artianian ring such that every left ideal is two-sided but not every right ideal is two-sided. | |
| Dec 30, 2012 at 0:56 | answer | added | Tom Goodwillie | timeline score: 11 | |
| Dec 30, 2012 at 0:26 | comment | added | David White | My gut says this must be true. The only examples of rings where things like this fail to be true (that I know of anyway) are those constructed by Jategaonkar using large cardinal axioms (discussed late in Chapter 5 of Lam's Lectures on Modules and Rings). So for finite rings I can't imagine examples like that. In fact, I'm guessing the full answer is in that book, and may be known for any Noetherian ring $R$. Some other places large cardinal axioms pop up in homological algebra are discussed here: mathoverflow.net/questions/68436/… | |
| Dec 29, 2012 at 20:46 | history | asked | user30230 | CC BY-SA 3.0 |