Topological Ordered Rings and Measures

نویسندگان

چکیده

Abstract Given a ring endowed with order, we provide sufficient conditions for the order topology induced by to become (analogous results module orders are consequently derived). Finally, notions of Radon and regular measures transported scope module-valued through orders. Classical characterizations these obtained as well hereditariness regularity conditional ring-valued measures.

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ژورنال

عنوان ژورنال: Results in Mathematics

سال: 2023

ISSN: ['1420-9012', '1422-6383']

DOI: https://doi.org/10.1007/s00025-023-01988-2