CAJ | 학술논문

在k-授射半模和拟主模的理论基础之上,引进拟主k-投射半模的概念,得到关于拟主k-投射半模的几个性质,这是环中拟主模和半环中k-投射半模性质的推广.证明:如果P是一个正则半模,则它是拟主k-投射半模当且仅当它是投射半模.给出在完全可吸收可消去半环上与拟主k-投射丰模等价的两个条件.
재k-수사반모화의주모적이론기출지상,인진의주k-투사반모적개념,득도관우의주k-투사반모적궤개성질,저시배중의주모화반배중k-투사반모성질적추엄.증명:여과P시일개정칙반모,칙타시의주k-투사반모당차부당타시투사반모.급출재완전가흡수가소거반배상여의주k-투사봉모등개적량개조건.
The concept of quasi-principally k-projective semimodules is given on the basis of the theories of k-projective semimodules and quasi-principally modules.Several properties of quasi-principally kprojective semimodules are investigated,which are generalization of the properties of quasi-principally modules of rings and k-projective semimodules of semiring.It is shown that if P is a k-regular semimodule,then P is quasi-principally k-projective if and only if P is projective.And two equivalent conditions to quasi-principally k-projective semimodules on a cancellative completely subtractive semiring R are given.