Compactly packed modules over noncommutative rings

مقدم أطروحة جامعية

Abu Suawin, Sulayman

مشرف أطروحة جامعية

Ashur, Arwa Id
al-Ashker, Muhammad Mahmud

الجامعة

الجامعة الإسلامية

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

فلسطين (قطاع غزة)

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2016

الملخص الإنجليزي

Let R be an associative ring with identity and M be a unitary right R-module.

A proper submodule N of M is compactly packed if for each family fP g 2 of prime submodules of M with N S 2 P , N P for some 2 .

A module M is called compactly packed if every proper submodule of M is compactly packed.

This concept of compactly packed modules was introduced over several submodules such as primary and primal submodules, instead of prime submodules over commutative rings.

Also this concept was generalized over noncommutative rings with identity for prime and primary submodules.

In this thesis, we generalize these concepts for weakly compactly packed and weakly primary compactly packed modules and introduce the concepts of primal compactly packed modules over noncommutative rings.

We also introduce the concept of weakly primal compactly packed modules.

A submodules N of M is called a weakly primal submodule if the set P = wadj(N)[f0g forms an ideal of R where wadj(N) is the set of elements of R that are not right weakly prime to N, (remember that an element r 2 R is not right weakly prime to N if 0 6= eRr N for some e 2 M n N).

التخصصات الرئيسية

الرياضيات

عدد الصفحات

88

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-688606