On the global dimension of Noetherian bi-amalgamated algebras along ideals ☆

Research paper by Mohammed Tamekkante, Khalid Louartiti

Indexed on: 18 Mar '16Published on: 26 Feb '15Published in: Journal of Taibah University for Science


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 to (f, g) is the subring of B × C given by

Figure 10.1016/j.jtusci.2014.09.001.0.jpg