Weak PS-rings over Skew Hurwitz Series

Mohamed A. Farahat, Salha T. Al-Bogamy

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.

Keywords

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

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