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Natural examples of quasivarieties with EDPM - MaRDI portal

Natural examples of quasivarieties with EDPM (Q1312174)

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scientific article; zbMATH DE number 488269
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English
Natural examples of quasivarieties with EDPM
scientific article; zbMATH DE number 488269

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    Natural examples of quasivarieties with EDPM (English)
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    22 January 1995
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    A quasivariety \(K\) has equationally definable principal meets, or EDPM, if there are finitely many pairs of terms \(p_ i (x,y,z,u)\), \(q_ i (x,y,z,u)\), \(i\in I\), such that for every \(A\in K\) and \(a,b,c,d\in A\) we have \(\Theta (a,b).\Theta(c,d)= \Theta(\{ p_ i (a,b.c.d), q_ i(a, b.c,d)\); \(i\in I\})\), where \(\Theta(X)\) denotes the least congruence \(\Theta\) such that \(A/\Theta\in K\). The author presents certain classes of finite algebras which generate quasivarieties with EDPM.
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    quasivariety
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    equationally definable principal meets
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    classes of finite algebras
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