δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings
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 Ï-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity. δ-r-hyperideals of commutative Krasner hyperrings ar...
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| Format: | Article |
| Language: | English |
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Estonian Academy Publishers
2023-02-01
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| Series: | Proceedings of the Estonian Academy of Sciences |
| Subjects: | |
| Online Access: | https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2023-96-103_20230227154700.pdf |
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| author | Peng Xu Melis Bolat Elif Kaya Serkan Onar Bayram Ali Ersoy Kostaq Hila |
| author_facet | Peng Xu Melis Bolat Elif Kaya Serkan Onar Bayram Ali Ersoy Kostaq Hila |
| author_sort | Peng Xu |
| collection | DOAJ |
| description | 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 Ï-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity. δ-r-hyperideals of commutative Krasner hyperrings are studied. Some properties of Ï-δ-r-hyperideals are investigated and several examples are provided. |
| first_indexed | 2024-04-10T07:03:56Z |
| format | Article |
| id | doaj.art-7ecdd1168ecb43c38da08657a8fb605f |
| institution | Directory Open Access Journal |
| issn | 1736-6046 1736-7530 |
| language | English |
| last_indexed | 2024-04-10T07:03:56Z |
| publishDate | 2023-02-01 |
| publisher | Estonian Academy Publishers |
| record_format | Article |
| series | Proceedings of the Estonian Academy of Sciences |
| spelling | doaj.art-7ecdd1168ecb43c38da08657a8fb605f2023-02-27T13:50:28ZengEstonian Academy PublishersProceedings of the Estonian Academy of Sciences1736-60461736-75302023-02-0172196103https://doi.org/10.3176/proc.2023.1.09https://doi.org/10.3176/proc.2023.1.09δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperringsPeng Xu0Melis Bolat1Elif Kaya2Serkan Onar3Bayram Ali Ersoy4Kostaq Hila5School of Computer Science of Information Technology, Qiannan Normal University for Nationalities, Duyun, 558000 Guizhou, P. R. ChinaDepartment of Mathematics, Yildiz Technical University, Istanbul, TurkeyDepartment of Mathematics and Science Education, Istanbul Sabahattin Zaim University, Istanbul, TurkeyDepartment of Mathematical Engineering, Yildiz Technical University, Istanbul, TurkeyDepartment of Mathematics, Yildiz Technical University, Istanbul, TurkeyDepartment of Mathematical Engineering, Polytechnic University of Tirana, Tirana, AlbaniaThis 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 Ï-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity. δ-r-hyperideals of commutative Krasner hyperrings are studied. Some properties of Ï-δ-r-hyperideals are investigated and several examples are provided.https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2023-96-103_20230227154700.pdfr-hyperidealδ -r-hyperidealφ -δ -primary hyperidealφ -δ -r-hyperideal. |
| spellingShingle | Peng Xu Melis Bolat Elif Kaya Serkan Onar Bayram Ali Ersoy Kostaq Hila δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings Proceedings of the Estonian Academy of Sciences r-hyperideal δ -r-hyperideal φ -δ -primary hyperideal φ -δ -r-hyperideal. |
| title | δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings |
| title_full | δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings |
| title_fullStr | δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings |
| title_full_unstemmed | δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings |
| title_short | δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings |
| title_sort | δ r hyperideals and φ δ r hyperideals of commutative krasner hyperrings |
| topic | r-hyperideal δ -r-hyperideal φ -δ -primary hyperideal φ -δ -r-hyperideal. |
| url | https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2023-96-103_20230227154700.pdf |
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