Abstract Algebra, Lec 24A: Ring Definition, Ring Examples, Ring Basic Properties and Proofs

(0:00) Lecture plan and plan for the rest of the semester.
(1:43) Review definition of a ring.
(7:23) Our main emphasis in our study of rings: factorization, especially in polynomial rings. Definition of "divides" and an example in Z5[x].
(13:06) Review initial examples of rings, including rings of integers, the ring Zn, rings of matrices, the Gaussian integers, and the rationals with the square root of 2 adjoined.
(26:37) Basic properties with simple (but somewhat tricky) proofs.

AMAZON ASSOCIATE
As an Amazon Associate I earn from qualifying purchases.