The Characterization Of W-multiplication Modules And W-multiplication Rings

In this thesis,we introduced the concept of w-multiplication modules and wmultiplication rings.In Chapter 3,we give the characterizations of w-multiplication modules.It is proved that every faithful w-multiplication w-module over Noetherian rings is a w-projective module.In Chapter 4,we introduced the concept of w-multiplication rings and discuss several characterizations and properties of this class of rings.As applications of w-multiplication rings,we give a kind of Krull theorem for those generalized notions.It is proved that R is a domain which is a w-multiplication ring if and only if R is a Krull domain.