Indecomposable, projective unitary \(S\)-poset. (Q2459006)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Indecomposable, projective unitary \(S\)-poset. |
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Indecomposable, projective unitary \(S\)-poset. (English)
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5 November 2007
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Let \(S\) be a partially ordered semigroup. A left \(S\)-poset \(A\) is called `unitary' if \(A=SA\). It is proved that an \(S\)-poset \(P\) is projective unitary if and only if \(P\) is isomorphic to \(\coprod_{i\in I}Se_i\), \(e_i^2=e_i\).
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unitary posets
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partially ordered semigroups
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projective posets
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