PTW整环的扩环

The Over-rings of PTW Domain

该文利用素理想在星型算子研究中的特殊性,对PTW整环的一类特殊扩环、w-全变换、广义变换进行了讨论,得到了R是PTW整环与R的w-全变换、广义变换是PTW整环的等价刻画,证明了若R是PTW整环,M是R的SV-稳定极大理想,则(M:M)也是PTW整环.

In this paper,by the particularity of prime ideal in study of star operator,A special over - ring、w - global transform、generalized transform of PTW domains are discussed. We gain the equivalent conditions of R is a PTW domain and it′s w - global transform、Generalized transform is also a PTW domain. And it is proved that if is a PTW domain and M is a maximal ideal of R which is SV - stable,then（M,M）is also a PTW domain.