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

Refaat M. Salem, Mohamed A. Farahat and Hanan Abd-Elmalk

International Journal of Mathematics and Mathematical Sciences, 2015, vol. 2015, 1-6

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:879129

DOI: 10.1155/2015/879129

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