Power Serieswise Armendariz Property in Amalgamated Algebra

Power Serieswise Armendariz Property in Amalgamated Algebra

Let f : A → B be a ring homomorphism, and let J be an ideal of B . In this paper, we investigate the transfer of the property of power serieswise Armendariz to the amalgamation A ⋈ f J . We provide necessary and sufficient conditions for A ⋈ f J to be a power serieswise Armendariz ring.

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Veröffentlicht in:Bulletin of the Iranian Mathematical Society 2019-02, Vol.45 (1), p.23-33
Hauptverfasser: El Ouarrachi, Mounir, Mahdou, Najib
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematics
Mathematics and Statistics
Original Paper
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Zusammenfassung:Let f : A → B be a ring homomorphism, and let J be an ideal of B . In this paper, we investigate the transfer of the property of power serieswise Armendariz to the amalgamation A ⋈ f J . We provide necessary and sufficient conditions for A ⋈ f J to be a power serieswise Armendariz ring.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-018-0117-7