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İstanbul Sabahattin Zaim University Institutional Repository
Article . 2024
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r-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings

descriptionPublicationkeyboard_double_arrow_right Article 13 May 2024 Turkey English Publisher:Hindawi Limited
Authors: Xu, Peng; Bolat, Melis; Kaya, Elif; Onar, Serkan; Ersoy, Bayram Ali; Hila, Kostaq; Kaya, Elif;

handle: 20.500.12436/5972

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

Abstract

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 studied. The relation between prime hyperideals and r-hyperideals is investigated. We show that the image and the inverse image of an r-hyperideal are also an r-hyperideal. We also introduce a generalization of r-hyperideals, and we prove some properties of them.

National Natural Science Foundation of China (NSFC) -- 62002079 -- This work was funded in part by the National Natural Science Foundation of China (grant no. 62002079).

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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