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PS-Modules over Ore Extensions and Skew Generalized Power Series Rings

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  • Refaat M. Salem
  • Mohamed A. Farahat
  • Hanan Abd-Elmalk

Abstract

A right -module is called a PS-module if its socle, , is projective. We investigate PS-modules over Ore extension and skew generalized power series extension. Let be an associative ring with identity, a unitary right -module, Ore extension, a right -module, a strictly ordered additive monoid, a monoid homomorphism, the skew generalized power series ring, and the skew generalized power series module. Then, under some certain conditions, we prove the following: (1) If is a right PS-module, then is a right PS-module. (2) If is a right PS-module, then is a right PS-module.

Suggested Citation

  • Refaat M. Salem & Mohamed A. Farahat & Hanan Abd-Elmalk, 2015. "PS-Modules over Ore Extensions and Skew Generalized Power Series Rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-6, March.
    • Handle: RePEc:hin:jijmms:879129
    DOI: 10.1155/2015/879129
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