Self injective property in amalgamated algebra along an ideal

Abstract

Let f : A → B be a ring homomorphism and let J be an ideal of B. In this paper, we investigate the transfer of self-injective property to the amalgamation of A with B along J with respect to f (denoted by A ⊲⊳ f J), introduced and studied by D'Anna, Finocchiaro and Fontana in 2009. We give also a characterization of A ⊲⊳ f J to be quasi-Frobenius.