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ON THE CLASS OF SUBSETS OF RESIDUATED LATTICE WHICH INDUCES A CONGRUENCE RELATION
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نویسنده
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harizavi habib
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منبع
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journal of algebra and related topics - 2019 - دوره : 7 - شماره : 1 - صفحه:1 -12
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چکیده
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In this manuscript, we study the class of special subsets connected with a subset in a residuated lattice and investigate some related properties. we describe the union of elements of this class. using the intersection of all special subsets connected with a subset, we give a necessary and sufficient condition for a subset to be a filter. finally, by defining some operations, we endow this class with a residuated lattice structure and prove that it is isomorphic to the set of all congruence classes with respect to a filter.
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کلیدواژه
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Residuated lattice ,Filter ,Complement-closed ,Congruence Relation
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آدرس
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shahid chamran university of ahvaz, department of mathematics, iran
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پست الکترونیکی
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harizavi@scu.ac.ir.
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Authors
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