On Armendariz-like properties in Amalgamated algebras along ideals
Mahdou, N. · Mimouni, A. · elOuarrachi, M.
Original · EN
Let f: A→ B be a ring homomorphism and J be an ideal of B. In this paper, we investigate the transfer of Armendariz-like properties to the amalgamation of A with B along J with respect to f (denoted by AᶠJ) introduced and studied by D'Anna, Finocchiaro and Fontana in 2009. Our aim is to provide necessary and sufficient conditions for AᶠJ, to be an Armendariz ring, nil-Armendariz ring and weak Armendariz ring.
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