A NOTE ON QUOTIENT FIELDS OF POWER-SERIES RINGS

被引：1

作者：

CHU, H ^{[1
]}

LANG, YC ^{[1
]}

机构：

[1] NATL TAIWAN UNIV,DEPT MATH,TAIPEI 106,TAIWAN

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1994年 / 37卷 / 02期

关键词：

POWER SERIES RING; QUOTIENT FIELD; ALGEBRAIC DEGREE; COMPLETELY INTEGRALLY CLOSED; NOETHERIAN;

D O I：

10.4153/CMB-1994-023-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be an integral domain with quotient field K. If R has an overring S not-equal-to K, such that S[[X]] is integrally closed then the ''algebraic degree'' of K((X)) over the quotient field of R[[X]] is infinite. In particular, it holds for completely integrally closed domain or Noetherian domain R.

引用

页码：162 / 164

页数：3

共 6 条

[1]

Bourbaki N., 1998, ELEMENTS MATH

[2] A NOTE ON QUOTIENT FIELD OF DOMAIN D[[X]] [J].