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Deanship of Scientific Research
Document Details
Document Type
:
Project
Document Title
:
Left coset representatives- graded rings and modules
الحلقات والموديلات المدرجة بممثلات الصفوف اليسرى
Subject
:
Left coset representatives- graded rings and modules
Document Language
:
Arabic
Abstract
:
For a group G with identity e, a G-graded ring R is a ring satisfying: R= sG Rs where Rs is an additive subgroup for each sG, such that Rs Rt Rst for all s,tG. If we replace Rs Rt Rst by the stronger condition Rs Rt = Rst, then R is said to be fully (or strongly) G-graded ring. In this project, we will construct a graded ring R using a set G of left coset representatives of a subgroup H of a group X in view of [1]. In addition, some important theorems of the graded rings will be proved in the new situation. Moreover, some properties of these graded rings and their modules will be derived.
Publishing Year
:
1428 AH
2007 AD
Sponsor Name
:
King Abdulaziz University
Sponsorship Year
:
1428 AH
2007 AD
Added Date
:
Tuesday, July 13, 2010
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
محمد موسي الشمراني
Alshomrani, Mohammed Mosa
Investigator
Doctorate
Files
File Name
Type
Description
27438.docx
docx
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