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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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Інститут прикладної математики і механіки НАН України
2007
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152362 |
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irk-123456789-1523622019-06-11T01:25:10Z Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 Bialkowski, J. Skowronski, A. 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. 2007 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152362 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Bialkowski, J. Skowronski, A. |
| spellingShingle |
Bialkowski, J. Skowronski, A. Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 Algebra and Discrete Mathematics |
| author_facet |
Bialkowski, J. Skowronski, A. |
| author_sort |
Bialkowski, J. |
| title |
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT bialkowskij nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 AT skowronskia nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 |
| first_indexed |
2023-05-20T17:38:09Z |
| last_indexed |
2023-05-20T17:38:09Z |
| _version_ |
1796153741849657344 |