Mth 541 Introduction to Abstract Algebra I

Groups and rings with homomorphism theorems, vector spaces, modules, algebraic theory of fields and Galois theory, lattices, algebras. This is the first course in a sequence of three: Mth 541, Mth 542, and Mth 543 which must be taken in sequence. Also offered for undergraduate-level credit as Mth 441 and may be taken only once for credit.