PS-modules over generalized Malcev-Neumann series

Abstract

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 modüle $M((S))_{R((S;\sigma;\tau))}$ is a PS-module are investigated in the present paper.