The pseudocomplementedness of modular lattices described by two 0-sublattices
Group Theory
2023-01-05 v2 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.2211.01337,
title = {The pseudocomplementedness of modular lattices described by two 0-sublattices},
author = {Peng He and Xue-ping Wang},
journal= {arXiv preprint arXiv:2211.01337},
year = {2023}
}
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