Definition talk:Left Ideal of Ring

Left ideals outside ring theory?
Is there a concept of a "left ideal" (or "right ideal") which is not in the context of ring theory?

The original reason for disambiguating "ideal" was because it clashed with the concept of a Platonic "ideal", particularly in the context of physics, e.g. "ideal spring" etc.

IMO it should be adequate to continue to use the existing pages Definition:Left Ideal and Definition:Right Ideal and try not to overcomplicate things with disambiguations that are not required.

Thoughts? --prime mover (talk) 03:35, 30 July 2017 (EDT)


 * I don't know if there's a more general concept, but it wouldn't surprise me, given the variety of obscure algebras out there. What happened: Not knowing the name of the redirect, I used this one, saw that it didn't existed, and decided it won't hurt to create a more specific one. --barto (talk) 04:07, 30 July 2017 (EDT)


 * Okay no worries, I'll tidy up. --prime mover (talk) 05:16, 30 July 2017 (EDT)

I restored the redirect, because it's certain that there are other notions of one-sided ideals. Either way, there's no harm in using a more specific link. --barto (talk) (contribs) 11:43, 22 December 2017 (EST)


 * Fair enough, I concur. Ideal is now to be consistently "Ideal of Ring" whenever it occurs. Definition:Left Ideal and Definition:Right Ideal can be phased out. --prime mover (talk) 05:54, 10 March 2018 (EST)