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A Characterization for non-DCC Lattices
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نویسنده
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Hosseinyazdi M. ,Ghanbarnezhad A.
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منبع
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journal of mathematical extension - 2009 - دوره : 3 - شماره : 2 - صفحه:101 -111
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چکیده
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Join-irreducible elements in a lattice have an importantrole. they act like blocks of a lattice. in dcc lattices each element ofthe lattice has a unique finite representation as a join of join-irreducibleelements. in this paper, we seek lattices which contains elements thatcan be represented as an infinite supremum of join-irreducible elements.one of these lattices is the lattice of sequences. finally, we give a newcharacterization for such lattices.
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کلیدواژه
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Lattice ,join-irreducible element ,completelyjoin-irreducible element ,DCC ,compactly generated
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آدرس
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payame noor university, Department of Mathematics, ایران, payame noor university, Department of Mathematics, ایران
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پست الکترونیکی
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amin, ghanbarnezhad@yahoo.coms
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Authors
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