Değişmeli olmayan halkalar üzerindeki çarpımsal modüller

Thesis Type: Postgraduate

Institution Of The Thesis: Marmara University, Institute for Graduate Studies in Pure and Applied Sciences, Department of Mathematics, Turkey

Approval Date: 2009

Thesis Language: Turkish


Supervisor: Ünsal Tekir


Multiplication Modules over Noncommutative RingsThe basic aim of this thesis is to define the properties of module theory and multiplication modules in module theory to noncommutative rings.For this, first, rings and modules were introduced by giving their basic definitions and characteristics.According to the definitions of these modules and multiplication modules, theirs behaviors to noncommutative rings are investigated and shown.In addition, the primality of multiplication modules is discussed and the conditions of being prime module and information are analyzed.As a result, the conditions for primality of multiplication modules were determined.