On pm^+ and finite character biamalgamation

‎ Let f : A → B and g : A → C be two ring homomorphisms and let J and J ′ be two ideals of B and C, respectively, such that f −1(J ) = g−1(J ′ ). The bi-amalgamation of A with (B, C) along (J, J ′ ) with respect of (f, g) is the subring of B × C given by A ▷◁f,g (J, J ′ ) = {(f (a) + j, g(a) + j′ )/a ∈ A, (j, j′ ) ∈ J × J ′ }. In this paper, we study the transference of pm+, pm and finite character ring-properties in the bi-amalgamation.