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Characterizing semirings using their quasi and bi-ideals
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نویسنده
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munir m. ,habib m.
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منبع
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proceedings of the pakistan academy of sciences - 2016 - دوره : 53 - شماره : 4A - صفحه:469 -475
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چکیده
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Quasi-ideals in a semiring are the generalization of one-sided right ideals and left ideals. bi-ideals are generalized form of the quasi-ideals. this paper is concerned with these two types of ideals in the semirings from pure algebraic point of view. we shall characterize three important classes of semirings namely regular semirings,intra-regular semirings and weakly regular semirings by the characteristics of their quasi and bi-ideals along with their right and left-ideals. © pakistan academy of sciences.
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کلیدواژه
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Bi-ideal; Intra-regular semiring; Quasi-ideal; Regular semiring; Weakly-regular semiring
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آدرس
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department of mathematics,government postgraduate college,abbottabad, Pakistan, department of mathematics,university of engineering and technology,lahore, Pakistan
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Authors
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