On the Lattice of Filters of Intuitionistic Linear Algebras
Publish place: Transactions on Fuzzy Sets and Systems، Vol: 2، Issue: 1
Publish Year: 1402
Type: Journal paper
Language: English
View: 172
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JR_TFSS-2-1_005
Index date: 23 May 2023
On the Lattice of Filters of Intuitionistic Linear Algebras abstract
In this paper, we investigate the filter theory of Intuitionistic Linear Algebra (IL-algebra, in short) with emphasis on the lattice of filters of IL-algebras and relationship between filters and congruences on IL-algebras. We characterize the filter generated by a subset and give some related properties. The prime filter for IL-algebras is characterized and the prime filter theorem for IL-algebra is established. We get that the lattice (F(\textbf{L}),\subseteq ) of filters of an IL-algebra \textbf{L} is algebraic, Brouwerian, pseudocomplemented and endowed with the structure of Heyting algebra. We prove that the lattice of congruences and that of filters of any IL-algebra are isomorphic.
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On the Lattice of Filters of Intuitionistic Linear Algebras authors
Tenkeu Yannick Lea
Department of Mathematics, University of Yaounde\&#۰۳۹;{e} ۱, Yaound\&#۰۳۹;{e}, Cameroon.
Cyrille Nganteu
Department of Mathematics, University of Yaounde\&#۰۳۹;{e} ۱, Yaound\&#۰۳۹;{e}, Cameroon.
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