Fully small dual stable modules

الملخص EN

New types of modules named Fully Small Dual Stable Modules and Principally Small Dual Stable are studied and investigated.

Both concepts are generalizations of Fully Dual Stable Modules and Principally Dual Stable Modules respectively.

Our new concepts coincide when the module is Small Quasi-Projective, and by considering other kind of conditions.

Characterizations and relations of these concepts and the concept of Small Duo Modules are investigated, where every fully small dual stable R-module M is small duo and the same for principally small dual stable.