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on quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings
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نویسنده
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molla md salim masud
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منبع
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journal of hyperstructures - 2022 - دوره : 11 - شماره : 2 - صفحه:196 -213
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چکیده
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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.
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کلیدواژه
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multiplicative hypersemiring ,minimal left hyperideal ,minimal right hyperideal ,quasi-hyperideal ,bi-hyperideal ,regular multiplicative hypersemiring
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آدرس
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darjeeling government college, department of mathematics, india
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پست الکترونیکی
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smpmath746@yahoo.in
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Authors
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