Higher n-angulations from local rings

Petter Andreas Bergh; Gustavo Jasso; Marius Thaule

doi:10.1112/jlms/jdv064

Higher n-angulations from local rings

Petter Andreas Bergh, Gustavo Jasso, Marius Thaule

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

We show that the category of finitely generated free modules over certain local rings is 𝑛-angulated for every 𝑛⩾3. In fact, we construct several classes of 𝑛-angles, parameterized by equivalence classes of units in the local rings. Finally, we show that for odd values of 𝑛 some of these 𝑛-angulated categories are not algebraic.

Originalspråk	engelska
Sidor (från-till)	123-142
Antal sidor	20
Tidskrift	Journal of the London Mathematical Society
Volym	93
Nummer	1
DOI	https://doi.org/10.1112/jlms/jdv064
Status	Published - 2016 jan.
Externt publicerad	Ja

Ämnesklassifikation (UKÄ)

Algebra och logik

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10.1112/jlms/jdv064

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@article{19565c44732e4ad6b3125ec4fcfbb7ce,

title = "Higher n-angulations from local rings",

abstract = "We show that the category of finitely generated free modules over certain local rings is 푛-angulated for every 푛⩾3. In fact, we construct several classes of 푛-angles, parameterized by equivalence classes of units in the local rings. Finally, we show that for odd values of 푛 some of these 푛-angulated categories are not algebraic.",

author = "Bergh, {Petter Andreas} and Gustavo Jasso and Marius Thaule",

year = "2016",

month = jan,

doi = "10.1112/jlms/jdv064",

language = "English",

volume = "93",

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journal = "Journal of the London Mathematical Society",

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AU - Jasso, Gustavo

AU - Thaule, Marius

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AB - We show that the category of finitely generated free modules over certain local rings is 푛-angulated for every 푛⩾3. In fact, we construct several classes of 푛-angles, parameterized by equivalence classes of units in the local rings. Finally, we show that for odd values of 푛 some of these 푛-angulated categories are not algebraic.

U2 - 10.1112/jlms/jdv064

DO - 10.1112/jlms/jdv064

M3 - Article

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VL - 93

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EP - 142

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JF - Journal of the London Mathematical Society

IS - 1

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Higher n-angulations from local rings

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Ämnesklassifikation (UKÄ)

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