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\(\xi\)-phantom maps in \((n+2)\)-angulated categories - MaRDI portal

\(\xi\)-phantom maps in \((n+2)\)-angulated categories (Q2169291)

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\(\xi\)-phantom maps in \((n+2)\)-angulated categories
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    \(\xi\)-phantom maps in \((n+2)\)-angulated categories (English)
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    2 September 2022
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    The authors generalize the notion of $n$-proper classes in $n$-exangulated categories to $n$-proper classes in $(n+2)$-angulated categories (constructing a complete lattice), and also they introduce the notion of phantom maps over this object (related with ideals); this allows them to study a relative version of homological algebra.
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    \((n+2)\)-angulated category
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    \(n\)-proper classes
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    \(\xi\)-phantom maps
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    complete lattice
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