Uniserial modules of generalized power series

Document Type : Research Paper


Northwest Normal University


Let R be a ring, M a right R-module and (S,≤) a strictly ordered monoid. In this paper we will show that if (S,≤) is a strictly ordered monoid satisfying the condition that 0 ≤ s for
all s ∈ S, then the module [[MS,≤]] of generalized power series is a uniserial right [[RS,≤]] ]]-module if and only if M is a simple right R-module and S is a chain monoid.


Main Subjects

Volume 38, Issue 4 - Serial Number 4
December 2012
Pages 947-954
  • Receive Date: 13 March 2011
  • Revise Date: 30 May 2011
  • Accept Date: 30 May 2011
  • First Publish Date: 15 December 2012