| 序列效应代数的Holland理论 |
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| 引用本文： | 郭建胜.序列效应代数的Holland理论[J].计算机工程与应用,2010,46(27):29-31. |
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| 作者姓名： | 郭建胜 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金(the National Natural Science Foundation of China under Grant No.10571112;No.60873119)；国家重点基础研究发展规划(973)(the National Grand Fundamental Research 973 Program of China under Grant No.2002CB312200)；中央高校基本科研业务费专项资金资助 |
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| 摘 要： | 介绍了序列效应代数的概念，给出了交换的序列效应代数的一些性质，证明了交换的序列效应代数由素理想诱导的商代数仍然是交换的序列效应代数。最后证明了每一个交换的序列效应代数能被表示为某个反格的自态射形成的序列效应代数。这样的表示是有用的，因为它给出了一个交换的序列效应代数作为自态射的集合的具体化。
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| 关 键 词： | 序列效应代数 反格 素理想 自态射 |
| 收稿时间： | 2010-6-22 |
| 修稿时间： | 2010-8-11
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Holland's theory for sequential effect algebras |
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| GUO Jian-sheng.Holland's theory for sequential effect algebras[J].Computer Engineering and Applications,2010,46(27):29-31. |
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| Authors: | GUO Jian-sheng |
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| Affiliation: | GUO Jian-sheng(College of Mathematic and Information Science, Shaanxi Normal University,Xi＇ an 710062, China) |
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| Abstract: | The definition of sequential effect algebras is introduced and some character of sequential effect algebras are given.It is proved that the quotient algebra induced by a prime ideal of a commutative sequential effect algebra is also a commutative sequential effect algebra.It is showed that every commutative sequential effect algebra can be represented by the commutative sequential effect algebra of automorphisms of an antilattice. Such a representation is useful since it gives a visualization of some commutative sequential effect algebra as a set of automorphisms. |
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| Keywords: | sequential effect algebra antilattice prime ideal automorphism |
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