Topics in Algebra

Topics chosen from semigroups with operators, homomorphisms, ring and field extensions, modules and ideals, right and left vector spaces over division rings, linear transformations, and rings of linear transformations, Galois theory, matrix groups, nilpotent groups, centers, exponential maps, Lie algebras.
Note. One course in Linear Algebra and one course in Modern Algeba are required and must be completed before taking this course.