CAJ | 학술논문

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。
해문이용소이상재성형산자연구중적특수성，대 PTW 정배적일류특수확배、w -전변환、엄의변환진행료토론，득도료 R 시 PTW 정배여 R 적 w -전변환、엄의변환시 PTW 정배적등개각화，증명료약 R 시 PTW 정배， M 시 R 적 SV -은정겁대이상，칙（M：M）야시 PTW 정배。
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.