首页    期刊浏览 2024年11月07日 星期四
登录注册

文章基本信息

  • 标题:Universally catenarian domains of D+M type, II
  • 本地全文:下载
  • 作者:David E. Dobbs ; Marco Fontana
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1991
  • 卷号:14
  • 期号:2
  • 页码:209-214
  • DOI:10.1155/S0161171291000212
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Let T be a domain of the form K + M , where K is a field and M is a maximal ideal of T . Let D be a subring of K such that R = D + M is universally catenarian. Then D is universally catenarian and K is algebraic over k , the quotient field of D . If [ K : k ] < ∞ , then T is universally catenarian. Consequently, T is universally catenarian if R is either Noetherian or a going-down domain. A key tool establishes that universally going-between holds for any domain which is module-finite over a universally catenarian domain.

国家哲学社会科学文献中心版权所有