Prime Hyperideals over hyperrings

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Thesis Type: Doctorate

Institution Of The Thesis: Yildiz Technical University, Faculty of Arts & Science, Department of Mathemeatics, Turkey

Approval Date: 2020

Thesis Language: Turkish

Student: Elif ÖZEL

Supervisor: Gürsel Yeşilot

Open Archive Collection: AVESIS Open Access Collection

Abstract:

Hyperstructures is a subject founded in 1934. Hyperstructures are different from abstract algebra since in some case outcome of addition is a set, in some case outcome of multiplication is a set and in some case both of them is a set. Also hyperstructures are wide range of application field and used in chemistry, fuzzy sets, artificial intelligence, graphs, probability, coding. In this study, in chapter 3 we studied about 2-absorbing hyperideals. In chapter 4 we studied delta -primary hyperideals and gived some properties of them. In chapter 5 we investigated 2-absorbing delta -primary hyperideals ve gived some examples. In chapter 6 we analyse uniformly primary hyperideals.