PS-Modules over Generalized Malcev-Neumann Series

In [1], the rst author introduced a new class of extension rings called the generalized Malcev-Neumann series ring $R((S;\sigma;\tau))$ with coeffcients in a ring $R$ and exponents in a strictly ordered monoid $S$ which extends the usual construction of Malcev-Neumann series rings. The conditions under which the generalized Malcev-Neumann series module $M((S))_{R ((S;\sigma;\tau)) }$ is a PS-module are investigated in the present paper.