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 TypeDr GradeEmail
نجلاء شويع السبيعيAl-Subaie, Najla ShouiaResearcherMaster 

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