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Jun 20, 2021 at 8:52 comment added Salvo Tringali The answer to Henriksen's question is yes not only for finite rings (as noted by user111524 in his comment above), but also for right (or left) artinian rings (see mathoverflow.net/a/395778/16537 for further details).
Jun 24, 2020 at 10:20 comment added arsmath The original of the Henriksen paper is now gone. Here is the Wayback Machine link: web.archive.org/web/20100813070706/https://math.hmc.edu/… As an aside, it's shocking to me how little universities care about preserving the scholarship of their own researchers.
Oct 29, 2017 at 8:42 comment added user111524 That's a very interesting problem ... note that a finite non-commutative ring with unity has more than one units ( see mathoverflow.net/questions/284684/… ) ; so that only leaves for infinite rings to be considered .
Feb 6, 2017 at 5:05 comment added DavidLHarden This looks like a fun way to spend some time in $\mathbb{Z}/(2)$-vector spaces...
Jul 23, 2012 at 0:04 comment added David Feldman Mel, to whom I will be eternally grateful for my low Erdos number and much else, was a master of the uniquely mathematical game of one downsmanship: "You don't if ..., we I don't even know if ...!!!
Jul 22, 2012 at 20:35 comment added David Corwin I've known ring theory for a while, and it never even occurred to me that that was difficult (let alone possibly true).
Jun 23, 2012 at 18:52 comment added David Feldman Here is a link to Henriksen's paper related to this question. google.com/…
Jun 23, 2012 at 15:04 comment added Pasha Zusmanovich That's interesting. Do you have some further pointers?
Jun 23, 2012 at 8:34 history answered David Feldman CC BY-SA 3.0