Abstract Algebra Exam 3 Review Problems and Solutions (Basic Ring Theory and Field Theory)

[@eddiejennings5262]

Super closure and associated slurping are growing on me very rapidly as a teaching tool. This lecture is a gift to the match community as always.

[@billkinneymath]

Thanks! 😄

[@luiszapata6864]

Thank you so much professor, it really helped me to prepare for my exam, quality of quality content!!!

[@billkinneymath]

You're welcome! Hope you do well!

[@luiszapata6864]

@@billkinneymath Just an update dear professor, I made it! So long story short, I took the "Algebraic Structures" at my uni (I'm based in Sweden) took the first attempt final exam, and failed miserably... After watching your course, especially the part focused on Rings, I could fully understand the topic, and voila! The second and final attempt was 4 of 6 questions ring topics (1st iso theorem, prove that a given set is a ring, the ideals, etc). Can thank you enough for allowing us to take a look at your course and sharing light on topics that at first glance are not so obvious to understand, furthermore master.

[@billkinneymath]

@@luiszapata6864 Congratulations! So great to hear. You're welcome, and thanks for sharing.

[@user-ci9oe7ws4l]

I think at 18:48 there's an error. An Ideal Is not Always a subring. If It Is a subring It contains the 1 and so every element of the ring R Is in the Ideal. Ideal=ring.

[@billkinneymath]

I think the textbook I use for the course takes the perspective that rings don't have to have a unity, so subrings don't have to have 1 either. (pun alert! 😀)

[@RenwickTJ]

Thank you Bill!

[@billkinneymath]

You're welcome!

[@ahmedabdulateefibrahim5227]

Always creative Professor, I hope you are fine and good health from your followers from Iraq

[@billkinneymath]

Thanks! Hope you are all doing well too!

[@meruem6995ujjoooo]

Ah i love you, just admiration

[@billkinneymath]

Thanks!