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Topological Residuated Lattices
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نویسنده
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Kouhestani N. ,Borzooei R. A.
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منبع
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International Journal Of Industrial Mathematics - 2017 - دوره : 9 - شماره : 3 - صفحه:183 -194
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چکیده
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In this paper, we study the separtion axioms t0, t1, t2 and t5/2 on topological and semitopological residuated lattices and we show that they are equivalent on topological residuated lattices. then we prove that for every infinite cardinal number α, there exists at least one nontrivial hausdorff topological residuated lattice of cardinality α. in the follows, we obtain some conditions on (semi) topological residuated lattices under which this spaces will convert into regular and normal spaces. finally by using of regularity and normality, we convert (semi)topological residuated lattices into metrizable topological residuated lattices.
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کلیدواژه
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Topological Residuated Lattice; Filter; Regular Space; Normal Space; (Locally) Compact Space
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آدرس
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University Of Sistan And Baluchestan, Fuzzy Systems Research Center, ایران, Shahid Beheshti University, Department Of Mathematics, ایران
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پست الکترونیکی
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borzooei@sbu.ac.ir
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Authors
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