Hemen hemen asal idealler ve zayıf asal idealler


Thesis Type: Postgraduate

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

Approval Date: 2017

Thesis Language: Turkish

Student: EMİNE SERAP KARACAN

Supervisor: Ünsal Tekir

Abstract:

In this study our main purpose is to introduce the structures of various ideals with their properties. For this, firstly, we give the definition of "ideal". And we investigate these ideals in domains of "Prime Ideals" and "Primary Ideals". If we give some details, we survey "Almost Prime Ideals" and "Weakly Prime Ideals" in domain of "Prime Ideals". Furthermore, we present these ideals with structures of different rings. Finally, we examine "Almost Prime Ideals" and "Weakly Prime Ideals" in domain of "Prime Ideals".