Linear Algebra over a Ring

Table of Contents

 * /Modules and linear functions/
 * /The lattice of submodules/
 * /Free modules and matrices/
 * /Direct product, direct sum and tensor product/
 * /Homomorphism and dual modules/
 * /Algebrae over a ring/
 * /Determinants/
 * /Modules over Bézout domains/
 * /Modules over principal ideal domains/
 * /Vector spaces/
 * /Multilinear algebra/
 * /Projective and injective modules/
 * /Torsion/
 * /Flat modules/
 * /Finitely generated modules/
 * /Chain complexes of finitely generated free modules/
 * /The universal coefficient theorems in homology and cohomology/