| 齐次效应代数的黏合构造 |
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| 引用本文： | 樊丰丽,颉永建.齐次效应代数的黏合构造[J].模糊系统与数学,2019(1):20-31. |
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| 作者姓名： | 樊丰丽 颉永建 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(61673250) |
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| 摘 要： | 本文给出了一些用一族具有Riesz分解性质的效应代数黏合成齐次的效应代数的条件,并研究了通过线性MV-代数替换正交代数中的原子得到只含有1型原子的有限的齐次效应代数的方法。
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| 关 键 词： | 齐次的效应代数 Riesz分解性质 黏合 Greechie 图 |
The Pasting Constructions for Homogeneous Effect Algebras |
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| FAN Feng-li,XIE Yong-jian.The Pasting Constructions for Homogeneous Effect Algebras[J].Fuzzy Systems and Mathematics,2019(1):20-31. |
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| Authors: | FAN Feng-li XIE Yong-jian |
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| Institution: | (College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710119,China) |
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| Abstract: | In this paper, we present some sufficient conditions for pasting a homogeneous effect algebra using a family of effect algebras with the Riesz decomposition property. Then, a kind of condition under which we can get a finite homogeneous effect algebra without atoms of type of 2 by substituting the atoms of an orthoalgebra with some linear MV-effect algebras is provided. |
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| Keywords: | Homogeneous Effect Algebra Riesz Decomposition Property Pasting Greechie Diagram |
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