Directed colimits of some flatness properties and purity of epimorphisms in S-posets

Let S be a pomonoid. In this paper, we introduce some new types of epimorphisms with certain purity conditions, and obtain equivalent descriptions of various flatness properties of S-posets, such as strong flatness, Conditions (E), (E′), (P), (Pw), (WP), (WP)w, (PWP) and (PWP)w. Thereby, we present...

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Bibliographic Details
Main Authors: Liang Xingliang, Khosravi Roghaieh
Format: Article
Language:English
Published: De Gruyter 2018-07-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0061

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