Irreducible quasiorders of monounary algebras (Q2840479)

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scientific article; zbMATH DE number 6189296
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Irreducible quasiorders of monounary algebras
scientific article; zbMATH DE number 6189296

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    18 July 2013
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    monounary algebra
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    rooted monounary algebra
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    \(\wedge\)-irreducible partial ordering
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    \(\wedge\)-irreducible quasiorder
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    Irreducible quasiorders of monounary algebras (English)
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    A monounary algebra \((A,f)\) is called rooted if for all \(x,y\in A\) there exists a non-negative integer \(n\) with \(f^n(x)=f^n(y)\). Let \((A,f)\) be a rooted monounary algebra. The completely \(\wedge\)-irreducible partial ordering relations which are compatible with \(f\) and the completely \(\wedge\)-irreducible quasiorder relations which are compatible with \(f\) are characterized.
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