Abstract
Let f:A→B and g:A→C be two ring homomorphisms and let J (resp. J′) be an ideal of B (resp. C) such that f−1(J)=g−1(J′). We investigate the transfer of the notions of (A)-rings and strong (A)-rings to the bi-amalgamation of A with (B,C) along (J,J′) with respect to (f,g), denoted by A⋈f,g(J,J′), introduced and studied by Kabbaj, Louartiti and Tamekkante in 2013. Our results generate new original examples of rings satisfying these properties.
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