Generalized stone residuated lattices
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_ASYAZDT-8-1_006
Index date: 5 January 2023
Generalized stone residuated lattices abstract
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 \alpha-filters. Finally, it is shown that each non-unit element of a directly indecomposable generalized Stone residuated lattice is a dense element.
Generalized stone residuated lattices Keywords:
residuated lattice , normal residuated lattice , quasicomplemented residuated lattice , generalized Stone residuated lattice
Generalized stone residuated lattices authors
Saeed Rasouli
Department of Mathematics, College of science, Persian Gulf University, Bushehr, ۷۵۱۶۹۱۳۸۱۷, Iran
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