Quasi-orthomodular Posets and Weak BCK-algebras

Janis Cirulis

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Quasi-orthomodular Posets and Weak BCK-algebras

机译：准正交模态集和弱BCK代数

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摘要

A quasi-orthomodular poset is defined to be a poset with 0 equipped with an orthogonality relation satisfying certain axioms. The goal of the paper is to compare such posets (also semilattices, nearlattices and lattices) with several other kinds of posets having an appropriate structure and already known in the literature: generalized orthomodular posets and lattices, generalized orthoalgebras, sectionally orthocomplemented, sectionally orthomodular and relatively orthocomplemented posets and meet semilattices, semi-orthomodular lattices, weak BCK-algebras.

机译：准正交模态的坐姿定义为具有0且具有满足某些公理的正交关系的坐姿。本文的目的是将这些位姿（也包括半晶格，近晶格和格）与其他几种具有适当结构且已经在文献中已知的位姿进行比较：广义正模态位姿和格，广义正代数，截面正态互补，截面正模态和相对正交互补的位姿，并满足半格，半正交模数网格，弱BCK代数。

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来源
《Order》 |2014年第3期|403-419|共17页
作者
Janis Cirulis;
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作者单位

Faculty of Computing, University of Latvia, Raina b., 19, Riga LV 1586, Latvia;

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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
关键词
Generalized orthoalgebra; Generalized orthomodular lattice; Generalized orthomodular poset; Nearlattice; Orthogonality; Orthomodular poset; Quasi-orthomodular poset; Relatively orthocomplemented poset; Sectionally orthocomplemented poset; Weak BCK-algebra;

机译：广义正交代数广义正交模格;广义正交模态的坐姿;近晶格;正交性正交模态的坐姿;准正交模态天线;相对正交的波塞;局部正交互补的球状体;弱BCK代数;

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专利

1. BCK-algebras inherited from the posets [J] . J.Y.Kim, Y.B.Jun, H.S.Kim Mathematica Japonicae . 1997,第1期

机译：从体态继承的BCK代数
2. Weakly orthomodular and dually weakly orthomodular posets [J] . Ivan Chajda, Helmut L?nger Asian-European journal of mathematics . 2018,第2期

机译：弱矫正和弱弱矫正胚胎假髓
3. Pseudo Weak Effect Algebras and Pseudo Weak D-posets [J] . Jian-sheng Guo, Yong-ming Li, Yong-jian Xie International Journal of Theoretical Physics . 2011,第4期

机译：伪弱效应代数和伪弱D态
4. Join Operations on Commutative BCK-Algebras with Condition (S) [C] . Kawaguchi Mayuka F., Minami Kouta, Kondo Michiro IEEE International Symposium on Multiple-Valued Logic . 2013

机译：有条件（S）的可交换BCK代数上的联接运算
5. Generalizations of Sperner's Theorem: Packing posets, families forbidding posets, and supersaturation. [D] . Dove, Andrew Philip. 2013

机译：Sperner定理的推广：打包姿势，禁止姿势的族和过饱和。
6. Soft Translations and Soft Extensions of BCI/BCK-Algebras [O] . Nazra Sultana, Nazia Rani, Muhammad Irfan Ali, -1

机译：BCI / BCK-代数的软翻译和软扩展
7. Homomorphic Image and Inverse Image of Weak Closure Operations on Ideals of BCK-Algebras [O] . Hashem Bordbar, Young Bae Jun, Seok-Zun Song 2020

机译：BCK代数理想弱闭合操作的同态图像和逆图像

Quasi-orthomodular Posets and Weak BCK-algebras

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