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graph based on residuated lattices
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نویسنده
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torkzadeh l. ,ahadpanh a. ,behzadi m.
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منبع
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journal of hyperstructures - 2014 - دوره : 3 - شماره : 1 - صفحه:27 -39
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چکیده
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In this paper, the residuated graph of residuated lattices will be studied. to do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated. by means of the set of all zerodivisors of an element of a residuated lattice l, the residuated graph gamma;(l) is defined and several examples are given. this graph is connected and also some necessary conditions for the residuated graph to be a star graph are found. finally, the relation between a residuated lattice l and the residuated graph gamma;(l) are studied.
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کلیدواژه
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residuated lattice ,graph ,zero divisors ,residuated graph
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آدرس
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islamic azad university, kerman branch, department of mathematics, iran, islamic azad university, kerman science and research branch, department of mathematics, iran, islamic azad university, kerman science and research branch, department of mathematics, iran
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پست الکترونیکی
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m-behzadi12@yahoo.com
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Authors
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