对交换环定义了广义p F环的概念，即一切具有常数秩的有限生成投射模都为自由模的交换环。
A generalization of PF rings relative to commutative rings: rings all finitely generated projective modules with constant rank of which are free is defined.
概型上的拟凝聚层和凝聚层分别起着环上的模和有限生成模的作用。
Since quasi-coherent sheaves and coherent sheaves on a scheme behave as modules and finite-generated modules on a ring, respectively.
本文定义并研究了广义rigid环，并讨论了环上有限生成投射模的性质。
In this paper, we define and study GR rings and finitely generated projective modules over them.
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