Order Dimension of Orthomodular Amalgamations Over Trees

Khaled J. Al-Agha; Richard J. Greechie

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Order Dimension of Orthomodular Amalgamations Over Trees

机译：树上正模块化合并的阶次维

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摘要

We consider the amalgamation of bounded involution posets over a strictly directed graph as applied to orthomodular lattices, orthomodular posets or orthoal-gebras. In the finite setting, we show that the order dimension of the amalgamation does not excee

机译：我们考虑了有界对合姿态集在严格定向图上的合并，该图应用于正交模态网格，正交模态集或正交代数。在有限的情况下，我们表明合并的阶数维不超过

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来源
《Order》 |2008年第1期|p.55-68|共14页
作者
Khaled J. Al-Agha; Richard J. Greechie;
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作者单位

Department of Mathematics, Wiley College, Marshall, TX 75670, USA;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
amalgamation; dimension; involution poset; bounded poset; orthomodular lattice; orthomodular poset; orthoalgebra; graph;

机译：合并;尺寸;对合姿态;有界姿态;正交模态;正交模态;正交代数;图;

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专利

1. Order Dimension of Orthomodular Amalgamations Over Trees [J] . Khaled J. Al-Agha, Richard J. Greechie Order . 2008,第1期

机译：树上正模块化合并的阶次维
2. States on Orthomodular Amalgamations Over Trees [J] . Khaled J. Al-Agha, Richard J. Greechie International Journal of Theoretical Physics . 2006,第2期

机译：树木正统合并的状态
3. States on orthomodular amalgamations over trees [J] . Al-Agha KJ, Greechie RJ International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics . 2006,第2期

机译：树木正统合并的状态
4. Metric Dimension for Amalgamations of Graphs [C] . Rinovia Simanjuntak, Saladin Uttunggadewa, Suhadi Wido Saputro International workshop on combinatorial algorithms . 2015

机译：图合并的度量维
5. Three-dimensional binary space partitioning tree and constructive solid geometry tree construction from algebraic boundary representations. [D] . Buchele, Suzanne Fox. 1999

机译：利用代数边界表示法构建三维二元空间划分树和构造实体几何树。
6. Amalgams: data-driven amalgamation for the dimensionality reduction of compositional data [O] . Thomas P Quinn, Ionas Erb 2020

机译：Amalgams：数据驱动的分析用于组成数据的维度降低
7. Dimension of amalgamated graphs and trees [O] . Alles, Peter 1986

机译：合并图和树的维数

Order Dimension of Orthomodular Amalgamations Over Trees

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