Abstract
A module [Formula: see text] is said to be extending (Goldie extending) if for each submodule [Formula: see text] there exists a direct summand [Formula: see text] of [Formula: see text] such that [Formula: see text] is essential in [Formula: see text] (if for every submodule [Formula: see text] of [Formula: see text] there exists a direct summand [Formula: see text] of [Formula: see text] such that [Formula: see text] is essential in both [Formula: see text] and [Formula: see text]). In this paper, a necessary and sufficient condition is obtained for a trivial Morita context ring to be right Goldie-extending.
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