Abstract Algebra | More examples involving rings: ideals and isomorphisms.

We give a few examples involving rings, one involving matrix rings and another involving the field of order 9.
www.michael-pen...
www.randolphcol...

[@ThefamousMrcroissant]

Ideals are quite abstract in terms of their implication/usefulness. Or at least to me.

[@paul21353]

If there is one thing I would add as a negative to Michael's video's it is his speed that comes across as hyper active. It builds up into something that could irritate. And not only that. It causes many of his mistakes in his videos. In his more recent videos he seems to have realized and corrected this.

[@ericvosselmans5657]

On the other side, it beats the youtube lecturers that just don't get to the point

[@shantanuD99]

Rings are indeed beautiful !

[@sambhusharma1436]

Nice ❤

[@asht750]

the defintions of subrings and ideals seem a little confusing.

[@ericvosselmans5657]

It's clear to me

[@Agus-of6rh]

The definition of an ideal is plainly wrong I think.

[@movieboy6]

@@Agus-of6rh How? The definition he uses in the video is the same as others I have seen previously

[@fictitiousforce9048]

An ideal does not need to be a sub ring, it just need to be an abelian group over addition, and to have the other property he mentioned

[@fictitiousforce9048]

So his definition is “correct” but it’s not a full definition of an ideal