$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings

التفاصيل البيبلوغرافية
العنوان: $r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
المؤلفون: Xu, Peng, Bolat, Melis, Kaya, Elif, Onar, Serkan, Ersoy, Bayram Ali, Hila, Kostaq
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - General Mathematics, 13A15, 13C05
الوصف: In this study, we examine some properties of $r$-hyperideals in the commutative Krasner hyperrings. Some properties of $pr$-hyperideals are also studied. The relation between prime hyperideals and $r$-hyperideals is investigated. We show that the image and the inverse image of an $r$-hyperideal is also an $r$-hyperideal. We also introduce a generalization of r-hyperideals and we prove some properties of them.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2110.10264
رقم الأكسشن: edsarx.2110.10264
قاعدة البيانات: arXiv