Symmetric and reversible properties of bi-amalgamated rings.

Let f: A → B and g: A → C be two ring homomorphisms and let K and K′ be two ideals of B and C, respectively, such that f⁻¹(K) = g⁻¹(K′). We investigate unipotent, symmetric and reversible properties of the bi-amalgamation ring A ⋈^f,g (K, K′) of A with (B, C) along (K, K′) with respect to (f, g). [ABSTRACT FROM AUTHOR]