Let M be a right R-module. M is called H-supplemented if for a submodule A of M there exists a direct summand D of M such that M = A + X holds if and only if M = D + X. Let M = M-1 circle plus M-2 be a duo module. Then M is H-supplemented if and only if M1 and M-2 are H-supplemented modules.
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机译:令M为正确的R模块。如果对于M的子模块A存在M的直接被加数D,使得M = A + X成立,且仅当M = D + X时,M称为H补充。令M = M-1圆加M-2成为二重奏模块。当且仅当M1和M-2是H补充模块时,M才补充H。
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