cyclic right R-module, projective module, Noetherian rings and modules (associative rings and algebras), Chain conditions on annihilators and summands: Goldie-type conditions, Free, projective, and flat modules and ideals in associative algebras, Noetherian module, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), Representation theory of associative rings and algebras, right Noetherian rings, finitely-generated module