Written to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. Andr ) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and Andr on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive...