Abstract Algebra | Some basic results regarding integral domains.

We prove some basic results regarding integral domains. In particular, we prove a multiplicative cancellation rule and that every finite integral domain is a field.
www.michael-penn.net
www.randolphcollege.edu/mathem...

[@MichaelPennMath]

Careful everyone: at 7:22 I write r=0 but say r is NOT equal to zero. What I wrote is wrong while what I said was correct.

[@CDChester]

Finally some good explanations of Abstract Algebra. #hype

[@anushrao882]

These are some quality videos!

[@mohammadelmir1211]

You are really saving me before the algebra exam. Thank you :)

[@maxryder9321]

2:00 surely you can create examples more freely. Say the simple example written is AB=0, then any XAP multiplied by (P^-1)BY simplifies to XABY=X0Y=0. It seems the video suggests restricting to the form PA(P^-1) multiplied by PB(P^-1). It feel that conjunction like thus would be necessary if we where trying to preserve an identity on the right, but since we are trying to preserve a zero matrix, we can be much less restricted

[@darrenpeck156]

Great teaching and choices of examples. Thank you so much! I hope your climbing is going well and you have time to check out Adam Ondra's CZcams too.

[@alexanderjerschow7504]

Hey sorry if this is off topic, but may I ask where you bought that sweater? It’s very nice

[@asht750]

Make videos about the topics that are missing from the playlist. thank you