Higher \(n\)-angulations from local rings (Q2793762)
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scientific article; zbMATH DE number 6557355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher \(n\)-angulations from local rings |
scientific article; zbMATH DE number 6557355 |
Statements
17 March 2016
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\(n\)-angulated category
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local ring
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Higher \(n\)-angulations from local rings (English)
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Triangulated categories have some ``higher dimensional'' analogues, called \(n\)-angulated categories. The main result of the paper shows that the category of finitely generated free modules over certain local rings is \(n\)-angulated for every \(n\geq 3\). Moreover, the authors construct several \(n\)-angulations on the underlying suspended category, and show that for certain local rings and for odd values of \(n\), some of the constructed \(n\)-angulated categories are not algebraic.
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