Ideals In Almost Distributive Lattice

الموضوعات

علوم بحتة وطبيعية

الملخص

This thesis aims to develop a better understanding of Almost distributive lattice and itsideals. We present the definition of Almost distributive lattice, ideals and filters. Also westudy some basic properties of Almost distributive lattice and give some examples on thisclass which includes almost all the existing ring theoretic generalisations of a Boolean ringlike regular rings.The concepts of a-ideals, annihilator ideals, O-ideals and minimal prime ideals are defined,and we furnish the relation between these concepts. In addition It is proved that the set ofall annihilator ideals of an Almost distributive lattice forms a complete Boolean algebra andthe set of all a-ideals forms a complete distributive lattice. Also characterization theoremsfor each of these concepts are proved.Furthermore we present the definition of regular and 1r-regular ring, which are type of ringsincluded by ADLs, The properties and characterizations theorems connecting between theseconcepts are studied, and several examples are given.

روابط وملفات

التعريف والنوع

رقم الوثيقة

01ed97cc-b7f3-43cc-81e8-b595c73bcede

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

851848_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Alaa Naeem Abu Ghalioon","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"Nureddin Rabie","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

English

المصدر والدورية

اسم المصدر

Ideals In Almost Distributive Lattice

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Distributive Lattice

إشراف وإعداد

الإشراف

Nureddin Rabie

الإعداد

Alaa Naeem Abu Ghalioon

الاقتباسات الببليوغرافية