PS-modules over generalized Malcev-Neumann series

Authors : Mohamed A. FARAHAT, Naif S. AL-HARTHY

Pages : 829-834

View : 14 | Download : 11

Publication Date : 2017-10-01

Article Type : Research Paper

Abstract :In [1], the rst author introduced a new class of extension rings called the generalized Malcev-Neumann series ring $Rinsert ignore into journalissuearticles values(insert ignore into journalissuearticles values(S;\sigma;\tau););$ 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 $Minsert ignore into journalissuearticles values(insert ignore into journalissuearticles values(S););_{R insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(S;\sigma;\tau);); }$ is a PS-module are investigated in the present paper.
Keywords : PS module, generalized Malcev Neumann series rings