Abstract Algebra | What is a ring?

We give the definition of a ring and present some examples.

[aky]

This is such a great channel. A gem.
Great work by Michael Penn. Amazing

[yunhokim]

This series is GOLD It is so much better than my professor. Thanks a lot

[OvsankaPoutram]

I'm just gonna leave a comment below in order to promote this channel

[ayubjikani]

Well, Following you since Very long time for problem solving,
After long time,
Today I needed To recall some concepts of Ring theory and I found you Again.... Made me smile...
Thank you Professor... 🙌🏻😀

[-_-_-_-_]

This video felt like 10 seconds lol. I really wish you did a full series on abstract algebra with this phenomenal level of clarity.

[maxdickens]

In Wikipedia, it is stated that a "ring" does have a multiplicative identity, meaning that (R, *) forms a monoid rather than just a semigroup. Additionally, "rng" satisfies the conditions mentioned in your video.

[johnnrwayne]

Great video, i've noticed you define a ring without the need for a neutral element for the second operation, but all textbooks I've seen insist on needing the neutral element for it to be called a true ring. I guess that's a matter of convention ?

[judjudersawn]

But why is it called a ring? Does it have to do with how you can imagine the structure conceptually?

[fahimullah]

Hey great video. Thanks for sharing! Btw which book do you follow for Abstract Algebra?

[alfredosalgado]

Are you related to the Penn acting family?

[jonatansvensson]

Are you sure you haven't forgotten closure under multiplication in your definition?

[sayanjitb]

I dont understand why does not 2Z have any identity element?

[aimiliosvalvis]

Is this Barney Stinson trying to hit on a woman by telling he is a mathematician ?

[humbledbjesus]

the nomenclature is just plain dumb...a ring?