PS-modules over generalized Malcev-Neumann series

Year 2017, Volume: 46 Issue: 5, 829 - 834, 01.10.2017

Mohamed A. Farahat Naif S. Al-harthy

https://izlik.org/JA63YK63XK

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.

Keywords

PS-module , generalized Malcev-Neumann series rings

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