PS-modules over Rings of Generalized Power Series

被引:0
作者
刘仲奎
机构
关键词
PS-module; ring of generalized power series; module of generalized power series;
D O I
10.13447/j.1674-5647.2002.03.008
中图分类号
O153.3 [环论];
学科分类号
070104 ;
摘要
Let R be a commutative ring and (S, ≤) a strictly totally ordered monoid which satisfies the condition that 0 ≤ s for every s ∈ S. In this paper we show that if RM is a PS-module, then the module [[MS≤]] of generalized power series over M is a PS [[RS,≤]]-module.
引用
收藏
页码:254 / 260
页数:7
相关论文
共 1 条
  • [1] FIELDS OF GENERALIZED POWER-SERIES
    ELLIOTT, GA
    RIBENBOIM, P
    [J]. ARCHIV DER MATHEMATIK, 1990, 54 (04) : 365 - 371