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Free 2-crossed complexes of simplicial algebras - MaRDI portal

Free 2-crossed complexes of simplicial algebras (Q1591088)

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scientific article; zbMATH DE number 1545873
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English
Free 2-crossed complexes of simplicial algebras
scientific article; zbMATH DE number 1545873

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    Free 2-crossed complexes of simplicial algebras (English)
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    21 June 2001
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    The author introduces some freeness conditions for 2-crossed complexes and presents some results on free and totally free 2-crossed modules. Among other results it is proved that the full subcategory of crossed complexes is a reflexive subcategory of the category \({\mathcal X}_2{\mathcal C}omp\) consisting of 2-crossed complexes together with the morphisms between them.
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    simplicial algebra
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    crossed complex
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    2-crossed complex
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