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Projective and indecomposable \(S\)-acts - MaRDI portal

Projective and indecomposable \(S\)-acts (Q1585573)

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scientific article; zbMATH DE number 1531234
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Projective and indecomposable \(S\)-acts
scientific article; zbMATH DE number 1531234

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    Projective and indecomposable \(S\)-acts (English)
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    16 November 2000
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    Let \(S\) be a semigroup. The authors describe unitary projective objects in full subcategories of \(S\)-Act, containing \(S\) and closed under coproducts and summands as exactly those isomorphic to \(\coprod_{i\in I}Se_i\), \(e_i\in E(S)\).
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    \(S\)-acts
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    projective acts
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    indecomposable acts
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    coproducts
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    direct sums
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