摘要
引入了DT整环的概念,证明了当R是v-凝聚环时,如果R是DT整环,那么R的局部化也是DT整环,以及其它几种等价情况.在拉回图的情况下,研究了DT整环与某些特殊整环的一些关系,并讨论了在拉回图中环R,D,T间的关系.通过例子给出了DT整环与DW整环和TW整环之间的联系.
In this paper, we deal with the DT-domains. First, we prove that if R is v-coherent and S is a multiplicative set of R then R is a DT-domain if and only if Rs is a DT-domain. Meanwhile we give some other equivalent conditions. Second, we investigate some properties of DT domains in pnllbacks. In particular, we study the relationship between DT domains and some special domains. After that we characterize the relationship among the rings like R,D,T in a pullback. Finally, some examples are given to show that a DT domain is not only a TW domain but also a DW domain, but the reverse is not neeessarily true.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第1期45-48,共4页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(10671137)
博士点专项科研基金(20060636001)
四川省应用基础研究计划资助项目
四川省重点学科基金资助项目
