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characterization of ordered semihypergroups in terms of uni-soft bi-hyperideals
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نویسنده
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farooq m. ,khan a. ,khan r. ,izhar m.
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منبع
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journal of algebraic hyperstructures and logical algebras - 2020 - دوره : 1 - شماره : 4 - صفحه:55 -70
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چکیده
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In this paper, we introduce the concept of unionsoft (briefly, uni-soft) bi-hyperideal of an ordered semihypergroup. the notions of prime (strongly prime, semiprime, irreducible, and strongly irreducible) uni-soft bi-hyperideals in ordered semihypergroups are introduced and related properties are investigated. numerous examples of these notions are given. the relationship between prime and strongly prime, irreducible and strongly irreducible uni-soft bi-hyperideals are considered and characterizations of these concepts are established. regular and intra-regular ordered semihypergroups are characterized in terms of these notions.
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کلیدواژه
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uni-soft semi-hypergroup ,prime (strongly prime) ,unisoft bi-hyperideal ,semiprime uni-soft bi-hyperideal ,irreducible (strongly irreducible) uni-soft bi-hyperideal ,regular and intra-regular ordered semihypergroup
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آدرس
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abdul wali khan university mardan, department of mathematics, pakistan, abdul wali khan university mardan, department of mathematics, pakistan, fata university, department of mathematics, pakistan, govt. college garhi kapoora mardan, department of mathematics, pakistan
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پست الکترونیکی
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mizharmath@gmail.com
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Authors
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