- Hacettepe Journal of Mathematics and Statistics
- Vol: 46 Issue: 5
- PS-modules over generalized Malcev-Neumann series
PS-modules over generalized Malcev-Neumann series
Authors : Mohamed A. Farahat, Naif S. Al-harthy
Pages : 829-834
View : 11 | Download : 4
Publication Date : 2017-10-01
Article Type : Research
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