Topological Algebra and its Applications, vol.5, no.1, pp.37-48, 2017 (Scopus)
In this study we construct, in the category XAlg(R)/A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (µ : M −→ A) and N = (η : N −→ A) of R-algebroids in two different ways: Firstly we construct the coproduct M ◦* N by using the free product M * N of pre-R-algebroids M and N, and then we construct the coproduct M ◦n N by using the semidirect product M n N of M and N via µ. Finally we construct an isomorphism between M ◦* N and M ◦n N.