关于相对遗传模及相对余遗传模

On relative hereditary and relative cohereditary modules

简要回顾了相对遗传模、相对余遗传模等有关概念和性质 ,讨论了当M为内射模时 ,M-投射模的等价刻画 ,及其对偶问题 ,M为投射模时 ,M-内射模的等价条件 ,从而给出了在相应条件下的M -遗传模。

Some properties of relative hereditary and relative cohereditary modules are reviewed briefly. The equivalent characterizations of M projective and M injective modules are discussed whenever M is an injective or projective modules respectively. some properties on M hereditary and M cohereditary modules are obtained.