MATH 6310 - Algebra

Marcelo Aguiar, fall 2014.

From the university catalog:

Prerequisite: familiarity with material covered in a standard undergraduate course in abstract algebra.

MATH 6310-6320 are the core algebra courses in the mathematics graduate program. MATH 6310 covers group theory, especially finite groups; rings and modules; ideal theory in commutative rings; arithmetic and factorization in principal ideal domains and unique factorization domains; introduction to field theory; tensor products and multilinear algebra. (Optional topic: introduction to affine algebraic geometry.)