Modules
Introduction to Modules
Overview, definitions, and presentations of modules.
Free Modules
Free modules, bases, and rank.
Modules over Dedekind Domains
Creation, arithmetic, basis, and homomorphisms of modules over Dedekind domains.
Chain Complexes
Ext, Tor, and projective resolutions.
Multilinear Algebra
Tensors, tensor spaces, and multilinear invariants.