ON SOME PROPERTIES OF RIGHT PURE (BI-QUASI-)HYPERIDEALS IN ORDERED SEMIHYPERRINGS

ON SOME PROPERTIES OF RIGHT PURE (BI-QUASI-)HYPERIDEALS IN ORDERED SEMIHYPERRINGS

In this paper, we present the concept of pure hyperideals of an ordered semihyperring and work with the k-extension of a bi-quasi hyperideal, which is a generalization of k-bi-quasi hyperideals of ordered semihyperrings. Moreover, we make an extension of pseudoorders, and we expand the theoretical a...

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Veröffentlicht in:Scientific bulletin. Buletin științific. Series A, Applied mathematics and physycs [i.e. physics] / UPB. Series A, Applied mathematics and physyics [i.e. physics Applied mathematics and physycs [i.e. physics] / UPB. Series A, Applied mathematics and physyics [i.e. physics, 2021-01, Vol.83 (4), p.95-104
Hauptverfasser: Shao, Z., Chen, X., Kosari, S., Omidi, S.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Physical Sciences
Physics
Physics, Multidisciplinary
Science & Technology
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Zusammenfassung:In this paper, we present the concept of pure hyperideals of an ordered semihyperring and work with the k-extension of a bi-quasi hyperideal, which is a generalization of k-bi-quasi hyperideals of ordered semihyperrings. Moreover, we make an extension of pseudoorders, and we expand the theoretical aspects by studying in depth the quotient ordered semihyperrings. Our results include applications of the ordered semi-hyperrings to construct ordered semi-hyperrings, using properties of weak pseudoorders.
ISSN:1223-7027