Contribution to study special kinds of hyperideals in ordered semihyperrings
In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k-hyperideals of ordered semihyperrings. Indeed, we define (m, n)-hyperideals and (m, n)-bi-hyperideals in ordered semihyperrings and investigate some of thei...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2017-11-01
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| Series: | Journal of Taibah University for Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1658365516300681 |
| Summary: | In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k-hyperideals of ordered semihyperrings. Indeed, we define (m, n)-hyperideals and (m, n)-bi-hyperideals in ordered semihyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of prime (m, n)-bi-hyperideal of an ordered semihyperring. MSC: 16Y99, Keywords: Ordered semihyperring, Hyperideal, k-Hyperideal, (m, n)-Hyperideal, Prime (m, n)-bi-hyperideal |
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| ISSN: | 1658-3655 |