四川师范大学学报（自然科学版）2013，Vol.36Issue(1)：23-27,5.DOI:10.3969/j.issn.1001-8395.2013.01.005
几乎v-整环的局部化与拉回图研究
Characterization of the Localization of an Almost v-Domain and Its Pullback
摘要
Abstract
In this paper we introduce the notion of almost v-domain. We show that a quotient ring of an almost v-domain is not necessarily an almost v-domain. We indicate that let ∣ Ra ∣ be a family of flat overlings of R with R= ∩Ra locally finite, if each of Ra is an almost v-domain, then R is an almost v-domain. We also show that in the pullback diagram of type (△M) , R is an almost v-domain if and only if D and T are almost v-domains and TM is an AV-domain. As a corollary, we prove that let k be the quotient field of an integral domain D, then D + Xk [ X ] ( resp. D + Xk [ [ X ] ] ) is an almost v-domain if and only if D is an almost v-domain.关键词
星型算子/几乎v-整环/局部化/Nagata型定理/拉回图Key words
star operation/ almost v-domain/ localization/ Nagata-type theorem/ pullback分类
数理科学引用本文复制引用
李庆,张廷波..几乎v-整环的局部化与拉回图研究[J].四川师范大学学报（自然科学版）,2013,36(1):23-27,5.基金项目
国家自然科学基金(11171240)资助项目 （11171240）
西南民族大学中央高校基本科研业务费专项资金(11NZYQN24)对本文给予了资助,谨致谢意. （11NZYQN24）
