Commutative Algebra/Print version

= Objects and morphisms =

= Functors, natural transformations, universal arrows =

= Kernels, cokernels, products, coproducts =

= Diagram chasing within Abelian categories =

= Modules, submodules and homomorphisms =

= Generators and chain conditions =

= The Cayley–Hamilton theorem and Nakayama's lemma =

= Direct products, direct sums and the tensor product =

= Fractions, annihilator =

= Sequences of modules =

= Torsion-free, flat, projective and free modules =

= Basic ideal theory =

= Nilradical and Jacobson radical =

= Jacobson rings =

= The spectrum and the Zariski topology =

= Noetherian rings =

= Primary decomposition =

= Artinian rings =

= Krull dimension =

= Valuation rings =

= Algebras and integral elements =

= Irreducibility, algebraic sets and varieties =

= Noether's normalisation lemma =

= Hilbert's Nullstellensatz =