Higher n-angulations from local rings
(2016) In Journal of the London Mathematical Society 93(1). p.123-142- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/19565c44-732e-4ad6-b312-5ec4fcfbb7ce
- author
- Bergh, Petter Andreas ; Jasso, Gustavo LU and Thaule, Marius
- publishing date
- 2016-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of the London Mathematical Society
- volume
- 93
- issue
- 1
- pages
- 20 pages
- publisher
- Oxford University Press
- external identifiers
-
- scopus:84962269173
- ISSN
- 0024-6107
- DOI
- 10.1112/jlms/jdv064
- language
- English
- LU publication?
- no
- id
- 19565c44-732e-4ad6-b312-5ec4fcfbb7ce
- date added to LUP
- 2022-03-09 15:15:40
- date last changed
- 2023-03-08 09:21:34
@article{19565c44-732e-4ad6-b312-5ec4fcfbb7ce,
abstract = {{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.}},
author = {{Bergh, Petter Andreas and Jasso, Gustavo and Thaule, Marius}},
issn = {{0024-6107}},
language = {{eng}},
number = {{1}},
pages = {{123--142}},
publisher = {{Oxford University Press}},
series = {{Journal of the London Mathematical Society}},
title = {{Higher <i>n</i>-angulations from local rings}},
url = {{http://dx.doi.org/10.1112/jlms/jdv064}},
doi = {{10.1112/jlms/jdv064}},
volume = {{93}},
year = {{2016}},
}