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Goldie twisted partial skew power series rings

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In this paper, we work with a unital twisted partial action of [Formula: see text] on a unital ring [Formula: see text]. We introduce the twisted partial skew power series… Click to show full abstract

In this paper, we work with a unital twisted partial action of [Formula: see text] on a unital ring [Formula: see text]. We introduce the twisted partial skew power series rings and twisted partial skew Laurent series rings. We study primality, semi-primality and the prime ideals in these rings. We describe the prime radical in twisted partial skew Laurent series rings. We investigate the Goldie property in twisted partial skew power series rings and twisted partial skew Laurent series rings. Moreover, we describe conditions for the semiprimality in twisted partial skew power series rings.

Keywords: series rings; skew power; twisted partial; partial skew

Journal Title: Journal of Algebra and Its Applications
Year Published: 2019

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