以下为句子列表：
英文: For example,it is proved that the direct sum M=_i∈IM_i is lifting if and only if there exists i∈I such that very coclosed submodule K of M with M=K+M_-i is a direct summand,or every supplement P of M_i in M is a direct summand and M/P is lifting.
中文: 例如证明了M=i∈IMi是提升模当且仅当存在i∈I,对M的任意余闭子模K,若M=K+M-i,则K是M的直和项,或者Mi在M中的任意补P是M的直和项且M/P是提升模.
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