Products of idempotent endomorphisms of free acts of infinite rank (Q1360998)
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scientific article; zbMATH DE number 1038366
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Products of idempotent endomorphisms of free acts of infinite rank |
scientific article; zbMATH DE number 1038366 |
Statements
Products of idempotent endomorphisms of free acts of infinite rank (English)
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8 June 1998
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Let \(I\) be an infinite set, \(S\) be a monoid, \(F_S(I)\) is the free right \(S\)-act with free generating set \(I\) and \(\text{End} F_S(I)\) is the monoid of \(S\)-endomorphisms of \(F_S(I)\). A description of \(S\)-endomorphisms of \(F_S(I)\) is given that are products of idempotents in \(\text{End} F_S(I)\).
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free right acts
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monoids of endomorphisms
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free generating sets
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products of idempotents
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