分式化时模理论的noforking性质(英文)  

Noforking Properties of Theories of Modules When They are Fracted

作　　者：王捍贫[1] 

机构地区：[1]北京大学计算机系

出　　处：《数学进展》1999年第3期241-251,共11页Advances in Mathematics（China）

摘　　要：本文讨论了将分式环S－1R上的模归约到R上的模时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为PR的一个noforking扩充．还讨论了分式模S－1M与M的noforking性质保持的条件．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.

关 键 词：分式模 分式环 分式化时模理论 noforking性质 

分 类 号：O153.3[理学—数学]