%0 Journal Article 
%A García Pacheco, Francisco Javier
%A Moreno Frías, María Ángeles
%A Murillo Arcila, Marina
%T Topological Ordered Rings and Measures
%D 2023
%@ 1422-6383
%U http://hdl.handle.net/10498/31352
%X Given a ring endowed with a ring order, we provide sufficient conditions for the order topology induced by the ring order to become a ring topology (analogous results for module orders are consequently derived). Finally, the notions of Radon and regular measures are transported to the scope of module-valued measures through module orders. Classical characterizations of these measures are obtained as well as the hereditariness of regularity for conditional ring-valued measures.
%K radon measures
%K ring order
%K topological ordered modules
%K Topological ordered rings
%~ Universidad de Cádiz