Minimal freeness and commutativity (Q1185235)
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scientific article; zbMATH DE number 37908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal freeness and commutativity |
scientific article; zbMATH DE number 37908 |
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Minimal freeness and commutativity (English)
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28 June 1992
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An algebra \(A\) is called minimally free if it contains a subset \(X\), called a pseudobasis, such that every map \(X\to A\) extends uniquely to an endomorphism of \(A\). The author considers the interactions of minimal freeness with various notions of commutativity. The results are applied to Abelian groups and idempotent semigroups.
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minimally free algebra
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pseudobasis
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endomorphism
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Abelian groups
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idempotent semigroups
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0.8816986
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