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fundamental commutative (m, n)-rings obtained from(m, n)-hyperrings
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نویسنده
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norouzi morteza ,ameri reza
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منبع
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caspian journal of mathematical sciences - 2019 - دوره : 8 - شماره : 2 - صفحه:162 -177
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چکیده
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We introduce the fundamental relation, α∗, on an (m,n)-hyperring r and indicate that this relation is the smallest strongly regular equivalence relation on r such that r/α∗ is an commutative (m,n)-ring. we use α∗-relation to construct the fundamental functor from category of (m,n)-hyperrings to the category of commutative (m,n)-rings. finally, some necessary and sufficient conditions for transitivity of α are given.
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کلیدواژه
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n-ary hypergroup ,(m n)-hyperring ,strongly regular relation
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آدرس
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university of bojnord, faculty of basic sciences, department of mathematics, iran, university of tehran, school of mathematics, statistics and computer science, college of sciences, iran
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Authors
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