The pseudocomplementedness of modular lattices described by two 0-sublattices
Peng He, Xue-ping Wang · arXiv (Cornell University) · 2022
In this article, we first characterize pseudocomplemented inductive modular lattices by using their two 0-sublattices. Then we use two 0-sublattices of a subgroup lattice to describe all locally cyclic abelian groups. In particular, we show that a locally cyclic abelian group can be characterized by its three subgroups.