دراسة في شبكة الأسس في الحلقات

Authors

  • أحمد الغصين
  • رنا مبيض

Abstract

تعتبر شبكات الأسس في الحلقات من أحدث أصناف الشبكات، إذ تم الاهتمام بدراستها في أواخر التسعينات من القرن الماضي. الهدف من هذا البحث هو دراسة العلاقة بين شبكة الأسس في الحلقة وبين شبكة بول، ونهتم بشكل خاص بالسمات التي تتصف بها علاقة الترتيب في شبكة الأسس. ومن أهم النتائج إعطاء مثال على أن شبكات الأسس في الحلقات لا تشكل بالضرورة شبكات.

The lattice of radicals ring is considered the most recent type of lattices, and has been studied since the nineties of the last century. The purpose of this article is to reveal the relationship between the lattice of radicals ring and Boolean lattice, specially the specific characteristics of the order relation in the Lattice of radicals. However, one of the most important conclusions is that giving examples shows that the lattices of radicals rings are not necessarily  Boolean lattices, even if they were complete distributive lattice.

Downloads

Published

2018-12-09

How to Cite

1.
الغصين أ, مبيض ر. دراسة في شبكة الأسس في الحلقات. TUJ-BA [Internet]. 2018Dec.9 [cited 2024May2];33(1). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5204

Issue

Vol. 33 No. 1 (2011): العلوم الأساسية

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.