SITT-ring properties in bi-amalgamated rings along ideals

Abstract

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'). In this paper, we give a characterization for the amalgamation of A with B along J with respect to f (denoted by A ⋈^f J) to be a SITT-ring and also we give a characterization for the bi-amalgamation of A with (B, C) along (J, J') with respect to (f, g) (denoted by A ⋈^f,g (J, J')) to be a SITT-ring. We also give some characterizations for strong weakly SIT-rings.