分式化时模理论的noforking性质

本文讨论了将分式环Ｓ＾－１Ｒ上的模归约为Ｒ上模时ｎｏｆｏｒｋｉｎｇ性质的保持性，证明了：Ｌｓ＾－１Ｒ中型ｑ是ｐ的ｎｏｆｏｒｋｉｎｇ扩充当且仅当它们在ＬＲ上的限制ｑＲ的一个ｏｆｏｒｋｉｎｇ扩充，还讨论了分式模Ｓ＾－１Ｍ与Ｍ的ｏｆｏｒｋｉｎｇ性质保持的条件。

Noforking Properties of Theories of Modules When They are Fracted

In this paper, preservations of noforking properties are investigated if a module over agiven ring of fractions S-1R is reduced to the module over R. It is proved that a type q is a noforkingextension of another type p in LS- 1 R if and only if qR is a noforking extension Of PR in MR, where qRand PR are the restrictions of q and p in ac respectively. Furthermore, some relations between a typeand its noforking extensions in a module M and its module of fractions S-1M are slao considered.