UNISERIAL MODULES OF GENERALIZED POWER SERIES release_6tx7jbqhfbcl3lbrzggwerkxnm

Abstract

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 [[M S,≤ ]] of generalized power series is a uniserial right [[R S,≤ ]]-module if and only if M is a simple right R-module and S is a chain monoid.
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