Timeline for On rings $R$ such that $xR\cap yR$ is non zero whenever $x$ and $y$ are non zero
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 2, 2016 at 14:48 | vote | accept | Drike | ||
| Feb 29, 2016 at 20:31 | comment | added | Duchamp Gérard H. E. | Let's wait and see what the OP has really in mind, I can delete my answer too if needed. Thank you for this high quality interaction. | |
| Feb 29, 2016 at 19:18 | comment | added | Todd Leason | I think we can keep both answers, since the title uses the general wording "On rings ..." which might also be of interest for others. However, if the OP may want to change the title into "On domains ...", I would be happy to delete my answer. | |
| Feb 29, 2016 at 19:04 | comment | added | Duchamp Gérard H. E. | @ToddLearson OK, one can interpret the question like that (i.e. focused on the last property). My answer is more contextual | |
| Feb 29, 2016 at 18:53 | comment | added | Todd Leason | Uniform rings form the largest class of rings with the desired property. If the OP is just interested in rings without zero-divisors, I agree that right Ore domain is the appropriate name. | |
| Feb 29, 2016 at 17:47 | comment | added | Duchamp Gérard H. E. | I think not. And this because right uniform rings are not supposed to be integral domains (unless I am mistaken). Please have a look at the MO background (integral domains, associative, unitary, non necessarily commutative). I think the answer is rather the subclass of right uniform rings called right Ore domains. | |
| Feb 29, 2016 at 14:05 | vote | accept | Drike | ||
| Feb 29, 2016 at 14:05 | |||||
| Feb 29, 2016 at 2:54 | history | edited | Todd Leason | CC BY-SA 3.0 |
added 14 characters in body
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| Feb 29, 2016 at 2:24 | history | answered | Todd Leason | CC BY-SA 3.0 |