In this paper, we define and study GR rings and finitely generated projective modules over them.
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。
We also obtain that for a finitely generated transcendental semigroup, there is a best generating set.
此外，超越整函数半群有着唯一的最小生成元集。
A generalization of PF rings relative to commutative rings: rings all finitely generated projective modules with constant rank of which are free is defined.
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。
In this paper, some results on the superfluous subgroups of a finitely-generated infinite soluble group are obtained, which are the generalizations of the corresponding results of a finite group.
本文得到了有限生成的无限可解群的多余子群的一些结果，它们是有限群的某些相应结果的推广。
In this paper, some results on the superfluous subgroups of a finitely-generated infinite soluble group are obtained, which are the generalizations of the corresponding results of a finite group.
本文得到了有限生成的无限可解群的多余子群的一些结果，它们是有限群的某些相应结果的推广。
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