Let R be a ring and let M be an R-module with \(S={\text {End}}_R(M)\). The module M is called quasi-dual Baer if for every fully invariant submodule N of M, \(\{\phi \in S \mid Im\phi \subseteq N\} = eS\) for some idempotent e in S. We show that M is quasi-dual Baer if and only if \(\sum _{\varphi \in \mathfrak {I}} \varphi (M)\) is a direct summand of M for every left ideal \(\mathfrak {I}\) of S. The R-module \(R_R\) is quasi-dual Baer if and only if R is a finite product of simple rings. Other characterizations of quasi-dual Baer modules are obtained. Examples which delineate the concepts and results are provided.

令R为环，令M为具有\（S = {\ text {End}} _ R（M）\）的R模块。该模块中号被称作准双贝尔如果对于每个完全子模块不变Ñ的中号，\（\ {\披\ S中\中间林\披\ subseteqÑ\} = ES \）对于某些幂等ê在小号。我们发现，中号是准双贝尔当且仅当\（\总和_ {\ varphi \中\ mathfrak {I}} \ varphi（M）\）是直接被加数中号的每一个左理想\（\ mathfrak {I} \）的小号。的[R -模当且仅当R是简单环的有限积时，\（R_R \）是准对偶Baer 。获得了准双Baer模块的其他特征。提供了描述概念和结果的示例。