MA211 Highlights is a set of seven unique documents that span over 30 pages. These Latex typeset notes cover chapters 2 to 8 and are presented in a very clear and logical manner. A preview of each first page is shown in the screenshots above.
The aim of these notes is to highlight the study of abstract algebraic structures. These MA211 notes covers topics such as the theory of groups; concepts of normal subgroups and quotient groups; factorisation in rings; number theory; group theory; permutations and permutation groups; homomorphisms; conjugation, normal subgroups and quotient groups and the first isomorphism theorem for groups.
Rings are also looked into, including the basic properties of rings and examples (including polynomial rings, matrix rings, and number rings); subrings, ideals and ring homomorphisms; divisibility in integral domains; greatest common divisors; Euclidean rings and unique factorisation; applications to number theory; principal ideal domains are all covered in these notes to some extent.