On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings
Copyright policy )On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings
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.
quasi-hyperideal, multiplicative hypersemiring, QA1-939, minimal right hyperideal, minimal left hyperideal, bi-hyperideal, regular multiplicative hypersemiring, Mathematics
quasi-hyperideal, multiplicative hypersemiring, QA1-939, minimal right hyperideal, minimal left hyperideal, bi-hyperideal, regular multiplicative hypersemiring, Mathematics
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