Browsing by Author "Onar, Serkan"

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

Xu, Peng; Bolat, Melis; Kaya, Elif; Onar, Serkan; Ersoy, Bayram Ali; Hila, Kostaq (Hindawi Limited, 2022)

This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r-hyperideals in commutative Krasner hyperrings. Some properties of pr-hyperideals are also ...
δ -r-hyperideals and φ -δ -r-hyperideals of commutative Krasner hyperrings

Xu, Peng; Bolat, Melis; Kaya, Elif; Onar, Serkan; Ersoy, Bayram Ali; Hila, Kostaq (ESTONIAN ACAD PUBLISHERS, 2023)

This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to 0-3-r-hyperideal in commutative Krasner hyperrings ...
φ -δ-Primary Hyperideals in Krasner Hyperrings

Guan, Hao; Kaya, Elif; Bolat, Melis; Onar, Serkan; Ersoy, Bayram Ali; Hila, Kostaq (Hindawi Limited, 2022)

In this paper, we study commutative Krasner hyperrings with nonzero identity. φ-prime, φ-primary and φ-δ-primary hyperideals are introduced. The concept of δ-primary hyperideals is extended to φ-δ-primary hyperideals. Some ...