Topological Ordered Rings and Measures-Reference-Cited by-同舟云学术

Topological Ordered Rings and Measures

Published:2023-08-19 Issue:6 Volume:78 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

García-Pacheco Francisco Javier,Moreno-Frías M. A.,Murillo-Arcila Marina^ORCID

Abstract

AbstractGiven 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.

Funder

Ministerio de Ciencia e Innovación

Generalitat Valenciana

Junta de Andalucia

Junta de Andalucía

Plan Propio Universidad de Cadiz

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-023-01988-2.pdf

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