Strongly torsion free acts over monoids. (Q2868588)
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scientific article; zbMATH DE number 6239131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly torsion free acts over monoids. |
scientific article; zbMATH DE number 6239131 |
Statements
17 December 2013
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monoid acts
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\(S\)-acts
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strongly torsion free acts
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flat acts
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Rees factor acts
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Strongly torsion free acts over monoids. (English)
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The authors characterize monoids whose acts, cyclic acts, monocyclic acts, Rees factor acts are strongly torsion free. An \(S\)-act \(A_S\) is called strongly torsion free if for any \(a,b\in A_S\) and any (not necessarily right cancellable) \(s\in S\), \(as=bs\) implies \(a=b\). For example, all \(S\)-acts, all cyclic \(S\)-acts, all monocyclic \(S\)-acts have this property iff \(S\) is a group.
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