Weak PS-rings over Skew Hurwitz Series

Authors

  • Mohamed A. Farahat Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, El-Haweiah, Kingdom of Saudi Arabia (KSA).
  • Salha T. Al-Bogamy

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i1.3206

Keywords:

PS-modules, PS-rings, skew Hurwitz series rings

Abstract

The notion of PS-rings is extended to the class of weak PS-rings. We
explore the algebraic properties of such class and study its relation with
many other rings such as local ring and semisimple NI-ring. Also, we
show the following result concerned, the ring of skew Hurwitz series. If R is a
weak right PS-ring, then the ring of skew Hurwitz series is a weak right PS-ring.

Author Biography

  • Mohamed A. Farahat, Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, El-Haweiah, Kingdom of Saudi Arabia (KSA).
    Department of Mathematics and Statistics

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Published

2018-01-30

Issue

Section

Mathematical Analysis

How to Cite

Weak PS-rings over Skew Hurwitz Series. (2018). European Journal of Pure and Applied Mathematics, 11(1), 244-259. https://doi.org/10.29020/nybg.ejpam.v11i1.3206