In this lecture the prime elements in a ring are defined. Its examples are discussed. A lemma stating a nonzero element in a Euclidean ring is either a unit or can be written as a product of finite number of prime elements is proved. Relatively prime elements in a Euclidean ring are defined. Some results on it are proved.
Link to the playlist of Ring Theory:
https://www.youtube.com/playlist?list=PLcIIiAWe24skTg_6ZT4rgB28R6aX8QzF7
Link to the handwritten notes on Ring Theory:
https://drive.google.com/file/d/18HNQ2-isAvYUiEutUJ83iHq1wW9tAEqZ/view?usp=drive_link