TY - JOUR AU - Brice Réné Amougou Mbarga PY - 2022/06/27 Y2 - 2024/03/29 TI - Subgroups Inclusions in 3-Factors Direct Product JF - Earthline Journal of Mathematical Sciences JA - EJMS VL - 10 IS - 1 SE - Articles DO - 10.34198/ejms.10122.195209 UR - https://earthlinepublishers.com/index.php/ejms/article/view/541 AB - The aim of this paper is to use a correspondent theorem   to characterize  containment of a degenerate $2$-factor injective subdirect products. Namely, let $\Omega,\Lambda$ be degenerate 2-factor injective subdirect products of $ M_{1}\times M_{2}\times M_{3}$, we provide necessary and sufficient conditions for $\Omega\leq \Lambda.$ Based on a decomposition of the inclusion order on the subgroup lattice of a subdirect product as a relation product of three smaller partial orders, we induce a matrix product of three incidence matrices. ER -