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

Student: CEMİLE NUR

Supervisor: Ünsal Tekir

Abstract:

The main objective of this thesis is to study multiplication modules and the prime submodules of such modules over a commutative ring with identity.To this end, we first gave some necessary and sufficient conditions for a module to be multiplication. Then we investigated whether some results on prime ideals also hold for prime submodules of multiplication modules. Furthermore we examined in particular when such modules are finitely generated.Finally, by introducing the notion of product of two submodules of such modules, we characterized the prime submodules of a multiplication module