Quotient Rings Part 1

[@user-ch9io3ss5g]

I went from hating algebra to loving it because of your videos...thank you so much!

[@hamishthompson1409]

beautifully explained

[@lightsider7674]

you make these annoying concepts so clear! Thanks a lot!

[@sallysrichurat8112]

Studying for my final and this was so helpful. Thank you!

[@mohammadarifkhan71]

Sir, plz show to how to find subring , ideal .max. ideal ,prime ideal of any given ring.. ..

[@marquez2390]

Why does it have to be an ideal and not just a sub Ring?

[@datsmydab-minecraft-and-mo5666]

A perhaps better way to understand an ideal is that it is analogous to that of a normal subgroup in group theory, Normal subgroups were those that had the extra structure/conditions necessary in order for us be able to construct a quotient group from them, in this case ideals are those subrings with the necessary conditions for us to be able to construct a quotient ring out of them, these extra conditions being for all r in the ring and i in the sub ring ir and ri are necessarily elements of our sub ring. In other words Ideals are the class of rings we are allowed to construct a quotient ring out of, there is in fact a theorem stating so:
Theorem: If I subset of R is an ideal, then R/I is a ring

[@MuffinsAPlenty]

@@datsmydab-minecraft-and-mo5666 I came back to this video and just noticed that I completely misunderstood the question. Thanks for answering it!

[@turokg1578]

cuz it has to be the kernel of a homomorphism

[@abdinasirmohamed9085]

Week

[@SIrLoneRabbit]

"Weak"

[@romitabiswas5490]

your "inglis is week" I guess

[@abdinasirmohamed9085]

Not goood