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(a, b)-fuzzy subrings and (a, b)-fuzzy ideals of a ring
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نویسنده
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ashok khubchandani jyoti ,khanderao nimbhorkar shriram
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منبع
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journal of hyperstructures - 2020 - دوره : 9 - شماره : 2 - صفحه:96 -114
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چکیده
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As an extension of the concept of a fuzzy subring and a fuzzy ideal, a new kind of a fuzzy subring and a fuzzy ideal calledan (a, b)-fuzzy subring and an (a, b)-fuzzy ideal of a ring is defined and their properties are studied. we also investigate the preimage of an (a, b)-fuzzy subring and an (a, b)-fuzzy ideal under a ring homomorphism. also, (a, b)-level fuzzy subrings (fuzzy ideals) are studied. a necessary and sufficient condition for two (a, b)-level fuzzy subrings (fuzzy ideals) to be equal is proved. we show that the set of cosets of an (a, b)-fuzzy ideal forms a ring.
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کلیدواژه
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b)-fuzzy subring ,b)-fuzzy ideal ,(a ,b)-fuzzy level subset
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آدرس
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dr.vitthalrao vikhe patil college of engineering, department of mathematics, india, dr. babasaheb ambedkar marathwada university, department of mathematics, india
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پست الکترونیکی
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sknimbhorkar@gmail.com
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Authors
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