| 序列效应代数的表示 |
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| 引用本文： | 张巧卫,郭志华,曹怀信.序列效应代数的表示[J].吉林大学学报(理学版),2017,55(4):779-783. |
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| 作者姓名： | 张巧卫 郭志华 曹怀信 |
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| 作者单位： | 1. 榆林学院 数学与统计学院, 陕西 榆林 719000; 2. 陕西师范大学 数学与信息科学学院, 西安 710119 |
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| 摘 要： | 考虑序列效应代数的表示问题,通过列举一些可表示的和不可表示的实例,给出序列效应代数可表示的一个充分条件,并证明了一些经典序列效应代数的可表示性,以及两个可表示的序列效应代数的直和仍然是可表示的.
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| 关 键 词： | 序列积 效应代数 表示 序列效应代数 |
| 收稿时间： | 2016-06-27 |
Representation of Sequential Effect Algebras |
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| ZHANG Qiaowei,GUO Zhihua,CAO Huaixin.Representation of Sequential Effect Algebras[J].Journal of Jilin University: Sci Ed,2017,55(4):779-783. |
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| Authors: | ZHANG Qiaowei GUO Zhihua CAO Huaixin |
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| Institution: | 1. School of Mathematics and Statistics, Yulin University, Yulin 719000, Shaanxi Province, China;2. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China |
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| Abstract: | We considered representability of sequential effect algebras. By enumerating some examples which were representable or not representable, we gave a sufficient condition for a sequential effect algebras to be representable, and explored representability of some classical sequential effect algebras. Lastly, we proved that the direct sum of two representable sequential effect algebras was still representable. |
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| Keywords: | sequential effect algebra sequential product effect algebra representation |
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