@misc{10498/39200,
year = {2026},
url = {http://hdl.handle.net/10498/39200},
abstract = {Sufficient conditions are found for the order topology on an ordered module over an ordered ring to be a module topology.More concretely, if $M$ is an ordered module over a   topological unital ordered ring such that $M^+\neq \{0\}$, $M^+\backslash\{0\}$ is downward directed, $0\in \cl\left(M^+\backslash\{0\}\right)$, and the module ordering is strong, then the order topology  is  a module topology. Nontrivial examples are provided showing that these sufficient conditions are not necessary.},
publisher = {Pleiades Publishing},
keywords = {topological ring},
keywords = {topological module},
keywords = {order topology},
title = {Topological Ordered Modules},
doi = {10.1134/S1995080225609634},
author = {García Pacheco, Francisco Javier and Moreno Frías, María Ángeles and Murillo Arcila, Marina and Rahbariyan, Sakineh},
}