Document Details Document Type : Thesis  Document Title : Catogories of static modules over rings of endomorphisms أصناف الموديلات المستقرة علي حلقات أندونور فزمات   Subject : Mathematics  Document Language : Arabic  Abstract : The work is carried out over the category of right A -modules; where A is an arbitrary ring, which is always associative and possesses identity. Accordingly, this work is based on a type of module called "static module related to a fixed A -moduleM or "M- static A -module. The main.~m of this thesis is to study static modules and their categories over associative rings with identity. In the coarse of study it was found convenient to look at these categories via the endomorphism rings defined over some fixed objects. Various equivalences among these categories are obtained. Some necessary and sufficient conditions are derived for self-small modules, presented modules and semi -}: -quasi -projective modules. Their properties in terms of Morita contexts were investigated. The main result proved here is the equivalence of subcategories of M -presented and N -presented modules, where (A,B,M,N) is a Morita context  Supervisor : Prof. Syed Khalid Nauman  Thesis Type : Master Thesis  Publishing Year : 1419 AH 1998 AD  Co-Supervisor : Prof. Hamza Ali Abujabal  Added Date : Wednesday, June 11, 2008  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email نادية عباس أدهم Adham, Nadia Abbas Researcher Master   Files File Name Type Description  23487.pdf pdf المستخلص  23488.pdf pdf Abstract Back To Researches Page