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On Bi-ideal Elements in Poe-AG-groupoid
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نویسنده
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shabani a. r. ,shamalizade m.a.
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منبع
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caspian journal of mathematical sciences - 2021 - دوره : 10 - شماره : 1 - صفحه:77 -84
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چکیده
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In this paper, first we introduce the concept of ideal and bi-ideal elements in poe-ag-groupoid. then, we give some characterizations and properties of their bi-ideal elements. thus, we consider some results concerning bi-ideals in poe-semigroups and investigate them in poe-ag-groupoids. morever, the class of biideal elements of poe-ag-groupoids are studied, certain intrinsic and basic properties of poe-ag-groupoids including: ∧-semilattice, bi-ideal, semiprime, weakly prime, totally ordered elements and etc are studied as well. the corresponding results on poe-semigroups can be also obtained as application of the results of this paper.
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کلیدواژه
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AG-groupoid; poe-semigroup; poe-AG-groupoid; ideal element; bi-ideal element; weakly prime; semiprime; quasi ideal element; ∧-semilattice and ∧-compatible
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آدرس
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imam khomaini naval academy, department of mathematics, Iran, imam hossin univirsity, imam kamenei complex, Iran
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Authors
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