Left hereditary rings and modules over left hereditary rings are studied, some new characterizations of left hereditary rings are given by using vn-injective modules.

• 摘要对左（右）遗传环及左（右）遗传环上的模进行讨论，给出遗传环的若干等价刻划和左（右）遗传环及左（右）遗传环上的模的一些性质。