The modules (rings) satisfying acc on certain submodules investigated in [2] and various important properties of Noetherian modules and rings can be generalized to modules and rings of this class. The present author introduced and developed the concept of modules (rings) satisfying dcc on certain submodules in [5] and [6]. In this paper we present a new characterization of rings satisfying dcc on certain submodules.

Keywords: Commutative rings, satisfying dccr, representable modules

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