Topological Ordered Rings and Measures

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URI: http://hdl.handle.net/10498/31352

DOI: 10.1007/s00025-023-01988-2

ISSN: 1422-6383

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Author/s
García Pacheco, Francisco JavierAuthority UCA; Moreno Frías, María ÁngelesAuthority UCA; Murillo Arcila, MarinaAuthority UCA
Date
2023-08-19
Department
Matemáticas
Source
Results in Mathematics. vol, 78, nº 6, December 2023, 212
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.
Subjects
radon measures; ring order; topological ordered modules; Topological ordered rings
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