Directed partial orders on the field of generalized complex numbers with 1 not greater than 0

Directed partial orders on the field of generalized complex numbers with 1 not greater than 0
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1 不大于 0 的广义复数域上的有向偏序

DOI:
10.1007/s11117-019-00647-7
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发表时间:
2019
期刊:
影响因子:
1
通讯作者:
Zhang Yuehui
Zhang Yuehui
中科院分区:
数学4区
文献类型:
--
作者:
Ma Jingjing;Wu Liusan;Zhang Yuehui

文献摘要

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LetFbe a non-archimedeano-field andbe the field of generalized complex numbers overF. In Ma et al. (Order 35:461–466, 2018), all directed partial orders onCwithare classified using admissible semigroups of. This paper classifies all the directed partial orders onCwithusing special convex subsets of. As a consequence, the (non-archimedean) analogue of Fuchs’ question in 1963 is answered completely.