In this paper,we get some good properties of relative quasi-principally k-projective semi-modules based on the notion of the further. It is shown that any direct summand of M quasi-principal-ly k-projective semimodules is still M quasi-principally k-projective semimodules and get a equivalent condition to M quasi-principally k-projective semimodules.%在拟主k-投射半模定义的基础上进一步获得相对拟主k-投射半模的性质。证明了M拟主k-投射半模的任意直和项仍然是M拟主k-投射半模,并得到了M拟主k-投射半模的等价条件。
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