We present a new and simplified version of the free abelian digroups on an arbitrary set X. Its carrier is formed by the union U of X and the inverses of X, by taking the direct product of U with the free abelian group over X. More can be found in the Book of Abstracts (https://drive.google.com/file/d/1F2OyRq50ktbiRHgna_n509RnfFPp_VZ4/view), p. 59.