Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3
We prove that there exist nonstandard K-linear triangulated categories with finitely many indecomposable objects and Calabi-Yau dimension one over an arbitrary algebraically closed field K of characteristic 3, using deformed preprojective algebras of generalized Dynkin type.
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152362 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 / J. Bialkowski, A. Skowronski // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 27–37. — Бібліогр.: 14 назв. — англ. |
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Bialkowski, J. Skowronski, A. 2019-06-10T13:17:23Z 2019-06-10T13:17:23Z 2007 Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 / J. Bialkowski, A. Skowronski // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 27–37. — Бібліогр.: 14 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:16D50, 16G60, 18G10. https://nasplib.isofts.kiev.ua/handle/123456789/152362 We prove that there exist nonstandard K-linear triangulated categories with finitely many indecomposable objects and Calabi-Yau dimension one over an arbitrary algebraically closed field K of characteristic 3, using deformed preprojective algebras of generalized Dynkin type. Supported by the Polish Scientific Grant KBN No. 1 P03A 018 27. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| spellingShingle |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 Bialkowski, J. Skowronski, A. |
| title_short |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_full |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_fullStr |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_full_unstemmed |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_sort |
nonstandard additively finite triangulated categories of calabi-yau dimension one in characteristic 3 |
| author |
Bialkowski, J. Skowronski, A. |
| author_facet |
Bialkowski, J. Skowronski, A. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We prove that there exist nonstandard K-linear triangulated categories with finitely many indecomposable objects and Calabi-Yau dimension one over an arbitrary algebraically closed field K of characteristic 3, using deformed preprojective algebras of generalized Dynkin type.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152362 |
| citation_txt |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 / J. Bialkowski, A. Skowronski // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 27–37. — Бібліогр.: 14 назв. — англ. |
| work_keys_str_mv |
AT bialkowskij nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 AT skowronskia nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 |
| first_indexed |
2025-12-07T19:31:29Z |
| last_indexed |
2025-12-07T19:31:29Z |
| _version_ |
1850879130971668480 |