On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings

Document Type : Research Paper

Author

Department of Mathematics, Darjeeling Government College, P.O.Box 734101, Darjeeling, India

Abstract

In this paper we introduce the notion of quasi-hyperideal in multiplicative hypersemirings which is a generalization of one-sided hyperideal and study some of its properties and obtain some characterizations of quasi-hyperideal in multiplicative hypersemirings. Also, we introduce the notion of bi-hyperideal in multiplicative hypersemirings. We prove that in a multiplicative hypersemiring every quasi-hyperideal is a bi-hyperideal, but the converse is not true.
Lastly, we characterize regular multiplicative hypersemiring with the help of quasi-hyperideal and bi-hyperideal. 

Keywords

References

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Journal of Hyperstructures
Volume 11, Issue 2
December 2022
Pages 196-213

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