2-Prime Hyperideals of Multiplicative Hyperrings
Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2-prime if x∘y⊆I for some x,y∈R, then,...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5721946 |
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| _version_ | 1832564862513840128 |
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| author | Mahdi Anbarloei |
| author_facet | Mahdi Anbarloei |
| author_sort | Mahdi Anbarloei |
| collection | DOAJ |
| description | Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2-prime if x∘y⊆I for some x,y∈R, then, x2⊆I or y2⊆I. The 2-prime hyperideals are a generalization of prime hyperideals. In this paper, we aim to study 2-prime hyperideals and give some results. Moreover, we investigate δ-2-primary hyperideals which are an expansion of 2-prime hyperideals. |
| format | Article |
| id | doaj-art-007208fb7c9f40728d1741f01b64a662 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-007208fb7c9f40728d1741f01b64a6622025-02-03T01:09:59ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/57219462-Prime Hyperideals of Multiplicative HyperringsMahdi Anbarloei0Department of MathematicsMultiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2-prime if x∘y⊆I for some x,y∈R, then, x2⊆I or y2⊆I. The 2-prime hyperideals are a generalization of prime hyperideals. In this paper, we aim to study 2-prime hyperideals and give some results. Moreover, we investigate δ-2-primary hyperideals which are an expansion of 2-prime hyperideals.http://dx.doi.org/10.1155/2022/5721946 |
| spellingShingle | Mahdi Anbarloei 2-Prime Hyperideals of Multiplicative Hyperrings Journal of Mathematics |
| title | 2-Prime Hyperideals of Multiplicative Hyperrings |
| title_full | 2-Prime Hyperideals of Multiplicative Hyperrings |
| title_fullStr | 2-Prime Hyperideals of Multiplicative Hyperrings |
| title_full_unstemmed | 2-Prime Hyperideals of Multiplicative Hyperrings |
| title_short | 2-Prime Hyperideals of Multiplicative Hyperrings |
| title_sort | 2 prime hyperideals of multiplicative hyperrings |
| url | http://dx.doi.org/10.1155/2022/5721946 |
| work_keys_str_mv | AT mahdianbarloei 2primehyperidealsofmultiplicativehyperrings |