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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1736-6046 1736-7530 |