@misc{10498/31352, year = {2023}, month = {8}, url = {http://hdl.handle.net/10498/31352}, abstract = {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.}, publisher = {Springer}, keywords = {radon measures}, keywords = {ring order}, keywords = {topological ordered modules}, keywords = {Topological ordered rings}, title = {Topological Ordered Rings and Measures}, doi = {10.1007/s00025-023-01988-2}, author = {García Pacheco, Francisco Javier and Moreno Frías, María Ángeles and Murillo Arcila, Marina}, }