Modules with quasi-continuous submodules

The notion of left q-ring was generalized to the big class of left 7r-rings. Fur-thermore, q-rings extended to module theory under the concept of Q-module (modules all of whose submodules are qausi-injective). In this article, the concept of QC-modules (modules all of whose submodules are qausi-continuous) are introduced as a wider class of both 7r-rings and Q-modules. Numerous characterizations of QC-modules have been obtained. Also, properties and results of these modules are investigated. Moreover, strong forms of QC-modules are given and studied.