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Generalized Stone Residuated Lattices
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نویسنده
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Rasouli Saeed
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منبع
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Journal Of Algebraic Structures And Their Applications - 2021 - دوره : 8 - شماره : 1 - صفحه:75 -87
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چکیده
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This paper introduces and investigates the notion of a generalized stone residuated lattice. it is observed that a residuated lattice is generalized stone if and only if it is quasicomplemented and normal. also, it is proved that a finite residuated lattice is generalized stone if and only if it is normal. a characterization for generalized stone residuated lattices is given by means of the new notion of α-filters. finally, it is shown that each non-unit element of a directly indecomposable generalized stone residuated lattice is a dense element.
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کلیدواژه
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Generalized Stone Residuated Lattice ,Normal Residuated Lattice ,Quasicomplemented Residuated Lattice ,Residuated Lattice
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آدرس
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Persian Gulf University, College Of Science, Department Of Mathematics, Iran
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پست الکترونیکی
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srasouli@pgu.ac.ir
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Authors
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