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Document Details
Document Type
:
Thesis
Document Title
:
LEFT COSETS REPRESENTATIVES AND CATEGORIES OF GRADED OBJECTS
ممثلات الصفوف اليسرى و المصنفات من اشياء مدرجة
Subject
:
Faculty of Sciences
Document Language
:
Arabic
Abstract
:
Let R be an associative ring and G be a semigroup. Recall that R is called G-graded if there is an additive subgroup R_g of R, for each g ∈ G, such that R=⊕_(g∈G) R_g and the inclusion property R_g R_h⊆R_ghis satisfied for all g,h∈G In this thesis, we investigate some properties of weak graded rings that are rings graded by a set G of coset representatives for the left action of a subgroup H on a group X. Also, the weak graded modules and weak graded vector spaces are discussed. Moreover, many results about the G-weak graded objects are discussed such as grading by a subset of G satisfying specific properties and obtaining a relation that ensures the G -weak grading for R. Many detailed examples are provided.
Supervisor
:
Prof. Dr. Mohammed M. Al-Shomrani
Thesis Type
:
Master Thesis
Publishing Year
:
1439 AH
2018 AD
Added Date
:
Wednesday, February 14, 2018
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
نجلاء شويع السبيعي
Al-Subaie, Najla Shouia
Researcher
Master
Files
File Name
Type
Description
43111.pdf
pdf
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