以下为句子列表：
英文: Suppose M is a left R-module. If the left annihilator of any element of End_R(M) is a direct summand of M, then M is called left Richart;
中文: 设M是左R-模,若End_R(M)中任意元φ在M中的左零化子是M的直和项,则称M是左Richart模;
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英文: if the left annihilator of any principal left ideal of End_R(M) is a direct summand of M, then M is called left principally quasi-Baer.
中文: 若End_R(M)中任意左主理想I在M中的左零化子是M的直和项,则称M是左主拟-Baer模。
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