RT journal article
T1 Topological Ordered Modules
A1 García Pacheco, Francisco Javier
A1 Moreno Frías, María Ángeles
A1 Murillo Arcila, Marina
A1 Rahbariyan, Sakineh
A2 Matemáticas
K1 topological ring
K1 topological module
K1 order topology
AB 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.
PB Pleiades Publishing
SN 1995-0802
YR 2026
FD 2026
LK http://hdl.handle.net/10498/39200
UL http://hdl.handle.net/10498/39200
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026