Institute of Mathematics

of the Czech Academy of Sciences
 
 
 
 

Czechoslovak Mathematical Journal, first online, pp. 1-15

Extensions of power serieswise Armendariz-like rings

Loubna ES-SALHI, Mohamed CHHITI

Received February 9, 2026.   Published online September 2, 2026.
Abstract:  This paper establishes necessary and sufficient conditions for a bi-amalgamation to inherit the power serieswise (or nil power serieswise) Armendariz property. We also prove that the power serieswise (or nil power serieswise) Armendarizness is preserved by the classical right quotient ring (or the trivial ring extension) as the Armendarizness (or nil-Armendarizness), and we construct various types of (nil) power serieswise Armendariz rings.
Keywords:  bi-amalgamated algebra along ideals; reduced ring; power serieswise Armendariz ring; nil power serieswise Armendariz ring
Classification MSC:  16S50, 16S70, 16U80, 13F25
DOI:  10.21136/CMJ.2026.0052-26
PDF available at:  Springer   Institute of Mathematics CAS
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Affiliations:   Loubna Es-Salhi, Department of Mathematics, Faculty of Science and Technology, University S.M. Ben Abdellah Fez, Box 2202, Route d'Imouzzer, Fez, Morocco, e-mail: loubna.essalhi@usmba.ac.ma; Mohamed Chhiti (corresponding author), Faculty of Economics and Social Sciences, University S.M. Ben Abdellah Fez, B.P. 42, 30000 Fez, Morocco, e-mail: chhiti.med@hotmail.com
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