2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127827By means of left quasigroups L=(L, .) and ternary systems, we construct dynamical Yang-Baxter maps associated with L, L, and (.) satisfying an invariance condition that the binary operation (.) of the left quasigroup L defines. Conversely, this construction characterize such dynamical Yang-Baxter maps. The unitary condition of the dynamical Yang-Baxter map is discussed. Moreover, we establish a correspondence between two dynamical Yang-Baxter maps constructed in this paper. This correspondence produces a version of the vertex-IRF correspondence.27 pagesQuantum AlgebraMathematical Physics81R50 (Primary); 20F36, 20N05, 20N10 (Secondary)text