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A number of differences exist between the structures of Hilbert spaces and Hilbert-modules. This work aims at studying some properties and characterizations of  c - K - g -frames in Hilbert-modules. Moreover, the dual  c - K - g -Bessel system for a given  c - K - g -frame in a Hilbert-module is introduced and all dual  c - K - g -Bessel systems are characterized. Finally, we provide sufficient conditions under which the sum of two  c - K - g -frames in a Hilbert-module is a  c - K - g -frame.

Some properties of c - K - g -frames in Hilbert C *-modules