Generalizations of various arithmetic properties of the system of integers.
Fall 2014 - Honors Algebra I
Generalizations of the real and complex number systems
Method of constructing larger groups out of a collection of groups
An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.
An overview of generators and relations, followed by a discussion on constructing structure-preserving extensions of maps on generating sets of groups.
An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.
A quick overview of elementary set theory, covering the basic terminology, relations and functions, equivalence relations and quotient sets, cartesian produc...