Finite generation of congruence preserving functions (Q314481)
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scientific article; zbMATH DE number 6627991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite generation of congruence preserving functions |
scientific article; zbMATH DE number 6627991 |
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Finite generation of congruence preserving functions (English)
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16 September 2016
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Property \(P\) of an algebra to have a finitely generated clone of congruence-preserving functions is investigated. Among the following algebras those having property \(P\) are characterized: finite \(p\)-groups, finite nilpotent groups, certain finite expanded groups as well as finite algebras having a Mal'cev term and a simple congruence lattice. For certain expanded groups a sufficient condition for having property \(P\) is provided. Here, an expanded group is an algebra having a reduct of type \((2,1,0)\) being a group.
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congruence-preserving function
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clone
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finitely generated clone
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\(p\)-group
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nilpotent group
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expanded group
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Mal'cev term
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simple congruence lattice
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