| 伪的弱效应代数的同余和理想 |
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| 引用本文： | 郭建胜,李永明.伪的弱效应代数的同余和理想[J].陕西师范大学学报,2010(3). |
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| 作者姓名： | 郭建胜 李永明 |
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| 作者单位： | 陕西师范大学数学与信息科学学院;陕西师范大学计算机科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(60873119); 陕西师范大学优秀科技预研项目(200702002) |
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| 摘 要： | 在伪的弱效应代数的基础上给出伪的弱差分偏序集的概念,证明了伪的弱效应代数和伪的弱差分偏序集是等价的.通过引入伪的弱效应代数中的同余等概念证明了在特殊的同余条件下的商代数仍然是伪的弱效应代数,证明了满足RDP性质的伪BL-效应代数在特殊的同余关系下的商代数也是一个伪BL-效应代数并且具有子直积表示.
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| 关 键 词： | 伪效应代数 伪的弱效应代数 伪的弱差分偏序集 BL-效应代数 理想 同余 子直积 |
Congruences and ideals of pseudo weak effect algebras |
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| GUO Jian-sheng,LI Yong-ming.Congruences and ideals of pseudo weak effect algebras[J].Journal of Shaanxi Normal University: Nat Sci Ed,2010(3). |
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| Authors: | GUO Jian-sheng LI Yong-ming |
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| Institution: | GUO Jian-sheng1,LI Yong-ming1,2(1 College of Mathematics , Information Science,2 College of Computer Science,Shaanxi Normal University,Xi\'an 710062,Shaanxi,China) |
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| Abstract: | Pseudo weak D-poset are introduced. It is proved that a pseudo weak effect algebra is equivalence to a pseudo weak D-poset,a quotient algebra induced by a special congruence of pseudo weak effect algebra is also a pseudo weak effect algebra,a quotient algebra induced by a special congruence of pseudo BL-effect algebra with Riesz decomposition property is also a pseudo BL-effect algebra,and every pseudo BL-effect algebra with Riesz decomposition property has a subdirect product representation. |
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| Keywords: | pseudo effect algebra pseudo weak effect algebra pseudo weak D-poset BL-effect algebra ideal congruence subdirect product |
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