Characterizations of modules definable in o-minimal structures

Characterizations of modules definable in o-minimal structures

Let $ \mathfrak M $ be an o-minimal expansion of a densely linearly ordered set and $ (S, +, \cdot, 0_S, 1_S) $ be a ring definable in $ \mathfrak M $. In this article, we develop two techniques for the study of characterizations of $ S $-modules definable in $ \mathfrak M $. The first technique is...

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Bibliographic Details
Main Authors: Jaruwat Rodbanjong, Athipat Thamrongthanyalak
Format: Article
Language:English
Published: AIMS Press 2023-04-01
Series:AIMS Mathematics
Subjects:
o-minimality
definable group
definable ring
definable module
manifold topology
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023660?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023660?viewType=HTML

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