Заметка о равномерно тотально сильно инертных подгруппах абелевых групп

We prove in this short note that any uniformly totally inert subgroup of a given group is commensurable with a uniformly fully invariant subgroup of the whole group as well as that any uniformly totally strongly inert subgroup is commensurable with a strongly invariant subgroup, thus somewhat extending results due to Breaz–Cˇalugˇareanu in Rend. Sem. Mat. Univ. Padova (2017), Chekhlov–Danchev in Rocky Mount. J. Math. (2025) and Goldsmith–Salce in J. Comm. Algebra (2025)