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On \(n\)-fold implicative vague filters in BE-algebras - MaRDI portal

On \(n\)-fold implicative vague filters in BE-algebras (Q2906803)

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scientific article; zbMATH DE number 6077795
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English
On \(n\)-fold implicative vague filters in BE-algebras
scientific article; zbMATH DE number 6077795

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    5 September 2012
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    BE-algebra
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    vague set
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    \(n\)-fold implicative filter
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    On \(n\)-fold implicative vague filters in BE-algebras (English)
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    An algebra \((G,\cdot,1)\) of type \((2,0)\) satisfying the identities \(xx=x1=1\), \(1x=x\) and \(x(yz)=y(xz)\) is called a BE-algebra. Conditions under which a vague set is an implicative vague filter are given and various characterizations of \(n\)-fold implicative vague filters and \(n\)-fold implicative BE-algebras are presented.
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