Title of article :
Uniserial modules of generalized power series
Author/Authors :
Zhao، Renyu نويسنده Northwest Normal University ,
Issue Information :
دوفصلنامه با شماره پیاپی 0 سال 2012
Pages :
8
From page :
947
To page :
954
Abstract :
Let $R$ be a ring‎, ‎$M$ a‎ ‎right $R$-module and $(S,\leq)$ a strictly ordered monoid‎. ‎In this‎ ‎paper we will show that if $(S,\leq)$ is a strictly ordered monoid‎ ‎satisfying the condition that $0\leq s$ for all $s\in S$‎, ‎then the‎ ‎module $[[M^{S,\leq}]]$ of generalized power series is a uniserial‎ ‎right $[[R^{S,\leq}]]$-module if and only if $M$ is a simple right‎ ‎$R$-module and $S$ is a chain monoid‎.
Journal title :
Bulletin of the Iranian Mathematical Society
Serial Year :
2012
Journal title :
Bulletin of the Iranian Mathematical Society
Record number :
950633
Link To Document :
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