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A. Basar, M. Y. Abbasi, B. Satyanarayana, P. K. Sharma, S. A. Khan, Some contribution to study of general relative prime and weakly prime bi-hyperideals in ordered hypersemigroups, Eur. J. Math. Appl. 2 (2022), Article ID 5.

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Volume 2 (2022), Article ID 5

https://doi.org/10.28919/ejma.2022.2.5

Published: 14/02/2022

Abstract:

In this paper, we introduce G-hyperideal, G-prime hyperideal, G-prime-bi-hyperideal, and G-weakly prime hyperideal in ordered semihypergroups and we also define G-regular ordered hypersemigroups as well as G-semisimple ordered hypersemigroups. Thereby, we extend the results to the broader and abstract setting of ordered hypersemigroups, this also strengthens previous generalizations relating to rings, semigroups and other algebraic structures.

How to Cite:

A. Basar, M. Y. Abbasi, B. Satyanarayana, P. K. Sharma, S. A. Khan, Some contribution to study of general relative prime and weakly prime bi-hyperideals in ordered hypersemigroups, Eur. J. Math. Appl. 2 (2022), Article ID 5. https://doi.org/10.28919/ejma.2022.2.5